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Finding the Third Proportional to 517,009.50 and 757,491.75

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Solution

The third proportional to 517,009.50 and 757,491.75 is: 1,109,832.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,009.50 : 757,491.75 = 757,491.75 : x
  2. Step 2: Convert to fraction form
    517,009.50/757,491.75 = 757,491.75/x
  3. Step 3: Cross multiply
    517,009.50x = 757,491.75 × 757,491.75
  4. Step 4: Simplify right side
    517,009.50x = 573,793,751,318.06
  5. Step 5: Solve for x
    x = 573,793,751,318.06/517,009.50
  6. Step 6: Final answer
    x = 1,109,832.12

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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.