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Finding the Third Proportional to 347,771 and 732,904

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Solution

The third proportional to 347,771 and 732,904 is: 1,544,545.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,771 : 732,904 = 732,904 : x
  2. Step 2: Convert to fraction form
    347,771/732,904 = 732,904/x
  3. Step 3: Cross multiply
    347,771x = 732,904 × 732,904
  4. Step 4: Simplify right side
    347,771x = 537,148,273,216
  5. Step 5: Solve for x
    x = 537,148,273,216/347,771
  6. Step 6: Final answer
    x = 1,544,545.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.