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Finding the Third Proportional to 523,135.13 and 740,437.88

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Solution

The third proportional to 523,135.13 and 740,437.88 is: 1,048,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,135.13 : 740,437.88 = 740,437.88 : x
  2. Step 2: Convert to fraction form
    523,135.13/740,437.88 = 740,437.88/x
  3. Step 3: Cross multiply
    523,135.13x = 740,437.88 × 740,437.88
  4. Step 4: Simplify right side
    523,135.13x = 548,248,246,734.52
  5. Step 5: Solve for x
    x = 548,248,246,734.52/523,135.13
  6. Step 6: Final answer
    x = 1,048,005.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.