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Finding the Third Proportional to 469,648 and 713,440

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Solution

The third proportional to 469,648 and 713,440 is: 1,083,783.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,648 : 713,440 = 713,440 : x
  2. Step 2: Convert to fraction form
    469,648/713,440 = 713,440/x
  3. Step 3: Cross multiply
    469,648x = 713,440 × 713,440
  4. Step 4: Simplify right side
    469,648x = 508,996,633,600
  5. Step 5: Solve for x
    x = 508,996,633,600/469,648
  6. Step 6: Final answer
    x = 1,083,783.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.