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Finding the Third Proportional to 517,008 and 758,496

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Solution

The third proportional to 517,008 and 758,496 is: 1,112,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,008 : 758,496 = 758,496 : x
  2. Step 2: Convert to fraction form
    517,008/758,496 = 758,496/x
  3. Step 3: Cross multiply
    517,008x = 758,496 × 758,496
  4. Step 4: Simplify right side
    517,008x = 575,316,182,016
  5. Step 5: Solve for x
    x = 575,316,182,016/517,008
  6. Step 6: Final answer
    x = 1,112,780.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.