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Finding the Third Proportional to 472,843 and 709,737

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Solution

The third proportional to 472,843 and 709,737 is: 1,065,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,843 : 709,737 = 709,737 : x
  2. Step 2: Convert to fraction form
    472,843/709,737 = 709,737/x
  3. Step 3: Cross multiply
    472,843x = 709,737 × 709,737
  4. Step 4: Simplify right side
    472,843x = 503,726,609,169
  5. Step 5: Solve for x
    x = 503,726,609,169/472,843
  6. Step 6: Final answer
    x = 1,065,314.72

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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.