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Finding the Third Proportional to 517,107 and 758,620.50

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Solution

The third proportional to 517,107 and 758,620.50 is: 1,112,932.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,107 : 758,620.50 = 758,620.50 : x
  2. Step 2: Convert to fraction form
    517,107/758,620.50 = 758,620.50/x
  3. Step 3: Cross multiply
    517,107x = 758,620.50 × 758,620.50
  4. Step 4: Simplify right side
    517,107x = 575,505,063,020.25
  5. Step 5: Solve for x
    x = 575,505,063,020.25/517,107
  6. Step 6: Final answer
    x = 1,112,932.26

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