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Finding the Third Proportional to 477,352,134 and 713,088,360

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Solution

The third proportional to 477,352,134 and 713,088,360 is: 1,065,240,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,352,134 : 713,088,360 = 713,088,360 : x
  2. Step 2: Convert to fraction form
    477,352,134/713,088,360 = 713,088,360/x
  3. Step 3: Cross multiply
    477,352,134x = 713,088,360 × 713,088,360
  4. Step 4: Simplify right side
    477,352,134x = 508,495,009,167,489,600
  5. Step 5: Solve for x
    x = 508,495,009,167,489,600/477,352,134
  6. Step 6: Final answer
    x = 1,065,240,883.93

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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.