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Finding the Third Proportional to 240,601.50 and 519,714

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Solution

The third proportional to 240,601.50 and 519,714 is: 1,122,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,601.50 : 519,714 = 519,714 : x
  2. Step 2: Convert to fraction form
    240,601.50/519,714 = 519,714/x
  3. Step 3: Cross multiply
    240,601.50x = 519,714 × 519,714
  4. Step 4: Simplify right side
    240,601.50x = 270,102,641,796
  5. Step 5: Solve for x
    x = 270,102,641,796/240,601.50
  6. Step 6: Final answer
    x = 1,122,614.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.