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Finding the Third Proportional to 259,915.50 and 558,508.50

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Solution

The third proportional to 259,915.50 and 558,508.50 is: 1,200,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,915.50 : 558,508.50 = 558,508.50 : x
  2. Step 2: Convert to fraction form
    259,915.50/558,508.50 = 558,508.50/x
  3. Step 3: Cross multiply
    259,915.50x = 558,508.50 × 558,508.50
  4. Step 4: Simplify right side
    259,915.50x = 311,931,744,572.25
  5. Step 5: Solve for x
    x = 311,931,744,572.25/259,915.50
  6. Step 6: Final answer
    x = 1,200,127.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.