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Finding the Third Proportional to 517,449.75 and 725,101.50

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Solution

The third proportional to 517,449.75 and 725,101.50 is: 1,016,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,449.75 : 725,101.50 = 725,101.50 : x
  2. Step 2: Convert to fraction form
    517,449.75/725,101.50 = 725,101.50/x
  3. Step 3: Cross multiply
    517,449.75x = 725,101.50 × 725,101.50
  4. Step 4: Simplify right side
    517,449.75x = 525,772,185,302.25
  5. Step 5: Solve for x
    x = 525,772,185,302.25/517,449.75
  6. Step 6: Final answer
    x = 1,016,083.56

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Why These Related Problems?

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