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Finding the Third Proportional to 474,692 and 712,132

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Solution

The third proportional to 474,692 and 712,132 is: 1,068,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,692 : 712,132 = 712,132 : x
  2. Step 2: Convert to fraction form
    474,692/712,132 = 712,132/x
  3. Step 3: Cross multiply
    474,692x = 712,132 × 712,132
  4. Step 4: Simplify right side
    474,692x = 507,131,985,424
  5. Step 5: Solve for x
    x = 507,131,985,424/474,692
  6. Step 6: Final answer
    x = 1,068,339.02

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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.