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Finding the Third Proportional to 322,730 and 473,727

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Solution

The third proportional to 322,730 and 473,727 is: 695,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,730 : 473,727 = 473,727 : x
  2. Step 2: Convert to fraction form
    322,730/473,727 = 473,727/x
  3. Step 3: Cross multiply
    322,730x = 473,727 × 473,727
  4. Step 4: Simplify right side
    322,730x = 224,417,270,529
  5. Step 5: Solve for x
    x = 224,417,270,529/322,730
  6. Step 6: Final answer
    x = 695,371.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.