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Finding the Third Proportional to 307,120 and 473,801

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Solution

The third proportional to 307,120 and 473,801 is: 730,943.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,120 : 473,801 = 473,801 : x
  2. Step 2: Convert to fraction form
    307,120/473,801 = 473,801/x
  3. Step 3: Cross multiply
    307,120x = 473,801 × 473,801
  4. Step 4: Simplify right side
    307,120x = 224,487,387,601
  5. Step 5: Solve for x
    x = 224,487,387,601/307,120
  6. Step 6: Final answer
    x = 730,943.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.