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Finding the Third Proportional to 262,551.38 and 407,327.06

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Solution

The third proportional to 262,551.38 and 407,327.06 is: 631,934.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,551.38 : 407,327.06 = 407,327.06 : x
  2. Step 2: Convert to fraction form
    262,551.38/407,327.06 = 407,327.06/x
  3. Step 3: Cross multiply
    262,551.38x = 407,327.06 × 407,327.06
  4. Step 4: Simplify right side
    262,551.38x = 165,915,335,844.88
  5. Step 5: Solve for x
    x = 165,915,335,844.88/262,551.38
  6. Step 6: Final answer
    x = 631,934.74

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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.