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Finding the Third Proportional to 517,456.50 and 725,110.50

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Solution

The third proportional to 517,456.50 and 725,110.50 is: 1,016,095.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,456.50 : 725,110.50 = 725,110.50 : x
  2. Step 2: Convert to fraction form
    517,456.50/725,110.50 = 725,110.50/x
  3. Step 3: Cross multiply
    517,456.50x = 725,110.50 × 725,110.50
  4. Step 4: Simplify right side
    517,456.50x = 525,785,237,210.25
  5. Step 5: Solve for x
    x = 525,785,237,210.25/517,456.50
  6. Step 6: Final answer
    x = 1,016,095.53

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.