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Finding the Third Proportional to 314,159.13 and 444,174.57

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Solution

The third proportional to 314,159.13 and 444,174.57 is: 627,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,159.13 : 444,174.57 = 444,174.57 : x
  2. Step 2: Convert to fraction form
    314,159.13/444,174.57 = 444,174.57/x
  3. Step 3: Cross multiply
    314,159.13x = 444,174.57 × 444,174.57
  4. Step 4: Simplify right side
    314,159.13x = 197,291,052,382.42
  5. Step 5: Solve for x
    x = 197,291,052,382.42/314,159.13
  6. Step 6: Final answer
    x = 627,997.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.