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Finding the Third Proportional to 273,007.13 and 413,326.13

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Solution

The third proportional to 273,007.13 and 413,326.13 is: 625,765.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,007.13 : 413,326.13 = 413,326.13 : x
  2. Step 2: Convert to fraction form
    273,007.13/413,326.13 = 413,326.13/x
  3. Step 3: Cross multiply
    273,007.13x = 413,326.13 × 413,326.13
  4. Step 4: Simplify right side
    273,007.13x = 170,838,485,607.52
  5. Step 5: Solve for x
    x = 170,838,485,607.52/273,007.13
  6. Step 6: Final answer
    x = 625,765.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.