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Finding the Third Proportional to 718,753.50 and 1,078,150.50

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Solution

The third proportional to 718,753.50 and 1,078,150.50 is: 1,617,256.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,753.50 : 1,078,150.50 = 1,078,150.50 : x
  2. Step 2: Convert to fraction form
    718,753.50/1,078,150.50 = 1,078,150.50/x
  3. Step 3: Cross multiply
    718,753.50x = 1,078,150.50 × 1,078,150.50
  4. Step 4: Simplify right side
    718,753.50x = 1,162,408,500,650.25
  5. Step 5: Solve for x
    x = 1,162,408,500,650.25/718,753.50
  6. Step 6: Final answer
    x = 1,617,256.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.