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Finding the Third Proportional to 474,687 and 712,125

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Solution

The third proportional to 474,687 and 712,125 is: 1,068,329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,687 : 712,125 = 712,125 : x
  2. Step 2: Convert to fraction form
    474,687/712,125 = 712,125/x
  3. Step 3: Cross multiply
    474,687x = 712,125 × 712,125
  4. Step 4: Simplify right side
    474,687x = 507,122,015,625
  5. Step 5: Solve for x
    x = 507,122,015,625/474,687
  6. Step 6: Final answer
    x = 1,068,329.27

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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.