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Finding the Third Proportional to 492,642 and 748,215.56

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Solution

The third proportional to 492,642 and 748,215.56 is: 1,136,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,642 : 748,215.56 = 748,215.56 : x
  2. Step 2: Convert to fraction form
    492,642/748,215.56 = 748,215.56/x
  3. Step 3: Cross multiply
    492,642x = 748,215.56 × 748,215.56
  4. Step 4: Simplify right side
    492,642x = 559,826,527,967.19
  5. Step 5: Solve for x
    x = 559,826,527,967.19/492,642
  6. Step 6: Final answer
    x = 1,136,375.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.