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Finding the Third Proportional to 474,694 and 712,136

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Solution

The third proportional to 474,694 and 712,136 is: 1,068,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,694 : 712,136 = 712,136 : x
  2. Step 2: Convert to fraction form
    474,694/712,136 = 712,136/x
  3. Step 3: Cross multiply
    474,694x = 712,136 × 712,136
  4. Step 4: Simplify right side
    474,694x = 507,137,682,496
  5. Step 5: Solve for x
    x = 507,137,682,496/474,694
  6. Step 6: Final answer
    x = 1,068,346.52

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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.