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Finding the Third Proportional to 472,740 and 709,470

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Solution

The third proportional to 472,740 and 709,470 is: 1,064,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,740 : 709,470 = 709,470 : x
  2. Step 2: Convert to fraction form
    472,740/709,470 = 709,470/x
  3. Step 3: Cross multiply
    472,740x = 709,470 × 709,470
  4. Step 4: Simplify right side
    472,740x = 503,347,680,900
  5. Step 5: Solve for x
    x = 503,347,680,900/472,740
  6. Step 6: Final answer
    x = 1,064,745.27

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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.