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Finding the Third Proportional to 502,381.75 and 748,382.75

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Solution

The third proportional to 502,381.75 and 748,382.75 is: 1,114,842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,381.75 : 748,382.75 = 748,382.75 : x
  2. Step 2: Convert to fraction form
    502,381.75/748,382.75 = 748,382.75/x
  3. Step 3: Cross multiply
    502,381.75x = 748,382.75 × 748,382.75
  4. Step 4: Simplify right side
    502,381.75x = 560,076,740,497.56
  5. Step 5: Solve for x
    x = 560,076,740,497.56/502,381.75
  6. Step 6: Final answer
    x = 1,114,842.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.