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Finding the Third Proportional to 473,214 and 709,092

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Solution

The third proportional to 473,214 and 709,092 is: 1,062,545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,214 : 709,092 = 709,092 : x
  2. Step 2: Convert to fraction form
    473,214/709,092 = 709,092/x
  3. Step 3: Cross multiply
    473,214x = 709,092 × 709,092
  4. Step 4: Simplify right side
    473,214x = 502,811,464,464
  5. Step 5: Solve for x
    x = 502,811,464,464/473,214
  6. Step 6: Final answer
    x = 1,062,545.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.