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Finding the Third Proportional to 477,352,029.75 and 713,088,374.25

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Solution

The third proportional to 477,352,029.75 and 713,088,374.25 is: 1,065,241,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,352,029.75 : 713,088,374.25 = 713,088,374.25 : x
  2. Step 2: Convert to fraction form
    477,352,029.75/713,088,374.25 = 713,088,374.25/x
  3. Step 3: Cross multiply
    477,352,029.75x = 713,088,374.25 × 713,088,374.25
  4. Step 4: Simplify right side
    477,352,029.75x = 508,495,029,490,508,032
  5. Step 5: Solve for x
    x = 508,495,029,490,508,032/477,352,029.75
  6. Step 6: Final answer
    x = 1,065,241,159.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.