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Finding the Third Proportional to 502,564.50 and 1,061,019

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Solution

The third proportional to 502,564.50 and 1,061,019 is: 2,240,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,564.50 : 1,061,019 = 1,061,019 : x
  2. Step 2: Convert to fraction form
    502,564.50/1,061,019 = 1,061,019/x
  3. Step 3: Cross multiply
    502,564.50x = 1,061,019 × 1,061,019
  4. Step 4: Simplify right side
    502,564.50x = 1,125,761,318,361
  5. Step 5: Solve for x
    x = 1,125,761,318,361/502,564.50
  6. Step 6: Final answer
    x = 2,240,033.50

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.