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Finding the Third Proportional to 521,617.50 and 1,112,132.25

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Solution

The third proportional to 521,617.50 and 1,112,132.25 is: 2,371,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,617.50 : 1,112,132.25 = 1,112,132.25 : x
  2. Step 2: Convert to fraction form
    521,617.50/1,112,132.25 = 1,112,132.25/x
  3. Step 3: Cross multiply
    521,617.50x = 1,112,132.25 × 1,112,132.25
  4. Step 4: Simplify right side
    521,617.50x = 1,236,838,141,490.06
  5. Step 5: Solve for x
    x = 1,236,838,141,490.06/521,617.50
  6. Step 6: Final answer
    x = 2,371,159.21

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.