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Finding the Third Proportional to 472,660 and 709,336

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Solution

The third proportional to 472,660 and 709,336 is: 1,064,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,660 : 709,336 = 709,336 : x
  2. Step 2: Convert to fraction form
    472,660/709,336 = 709,336/x
  3. Step 3: Cross multiply
    472,660x = 709,336 × 709,336
  4. Step 4: Simplify right side
    472,660x = 503,157,560,896
  5. Step 5: Solve for x
    x = 503,157,560,896/472,660
  6. Step 6: Final answer
    x = 1,064,523.25

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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.