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Finding the Third Proportional to 259,092.50 and 562,439.75

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Solution

The third proportional to 259,092.50 and 562,439.75 is: 1,220,948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,092.50 : 562,439.75 = 562,439.75 : x
  2. Step 2: Convert to fraction form
    259,092.50/562,439.75 = 562,439.75/x
  3. Step 3: Cross multiply
    259,092.50x = 562,439.75 × 562,439.75
  4. Step 4: Simplify right side
    259,092.50x = 316,338,472,380.06
  5. Step 5: Solve for x
    x = 316,338,472,380.06/259,092.50
  6. Step 6: Final answer
    x = 1,220,948.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.