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Finding the Third Proportional to 472,813 and 709,698

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Solution

The third proportional to 472,813 and 709,698 is: 1,065,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,813 : 709,698 = 709,698 : x
  2. Step 2: Convert to fraction form
    472,813/709,698 = 709,698/x
  3. Step 3: Cross multiply
    472,813x = 709,698 × 709,698
  4. Step 4: Simplify right side
    472,813x = 503,671,251,204
  5. Step 5: Solve for x
    x = 503,671,251,204/472,813
  6. Step 6: Final answer
    x = 1,065,265.23

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