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Finding the Third Proportional to 472,722 and 709,413

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Solution

The third proportional to 472,722 and 709,413 is: 1,064,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,722 : 709,413 = 709,413 : x
  2. Step 2: Convert to fraction form
    472,722/709,413 = 709,413/x
  3. Step 3: Cross multiply
    472,722x = 709,413 × 709,413
  4. Step 4: Simplify right side
    472,722x = 503,266,804,569
  5. Step 5: Solve for x
    x = 503,266,804,569/472,722
  6. Step 6: Final answer
    x = 1,064,614.73

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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.