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Finding the Third Proportional to 472,768 and 709,635

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Solution

The third proportional to 472,768 and 709,635 is: 1,065,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,768 : 709,635 = 709,635 : x
  2. Step 2: Convert to fraction form
    472,768/709,635 = 709,635/x
  3. Step 3: Cross multiply
    472,768x = 709,635 × 709,635
  4. Step 4: Simplify right side
    472,768x = 503,581,833,225
  5. Step 5: Solve for x
    x = 503,581,833,225/472,768
  6. Step 6: Final answer
    x = 1,065,177.49

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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.