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Finding the Third Proportional to 262,753.88 and 406,382.06

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Solution

The third proportional to 262,753.88 and 406,382.06 is: 628,521.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,753.88 : 406,382.06 = 406,382.06 : x
  2. Step 2: Convert to fraction form
    262,753.88/406,382.06 = 406,382.06/x
  3. Step 3: Cross multiply
    262,753.88x = 406,382.06 × 406,382.06
  4. Step 4: Simplify right side
    262,753.88x = 165,146,380,721.75
  5. Step 5: Solve for x
    x = 165,146,380,721.75/262,753.88
  6. Step 6: Final answer
    x = 628,521.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.