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Finding the Third Proportional to 653,251.50 and 1,026,540

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Solution

The third proportional to 653,251.50 and 1,026,540 is: 1,613,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,251.50 : 1,026,540 = 1,026,540 : x
  2. Step 2: Convert to fraction form
    653,251.50/1,026,540 = 1,026,540/x
  3. Step 3: Cross multiply
    653,251.50x = 1,026,540 × 1,026,540
  4. Step 4: Simplify right side
    653,251.50x = 1,053,784,371,600
  5. Step 5: Solve for x
    x = 1,053,784,371,600/653,251.50
  6. Step 6: Final answer
    x = 1,613,137.32

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.