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Finding the Third Proportional to 273,017.25 and 413,346.38

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Solution

The third proportional to 273,017.25 and 413,346.38 is: 625,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,017.25 : 413,346.38 = 413,346.38 : x
  2. Step 2: Convert to fraction form
    273,017.25/413,346.38 = 413,346.38/x
  3. Step 3: Cross multiply
    273,017.25x = 413,346.38 × 413,346.38
  4. Step 4: Simplify right side
    273,017.25x = 170,855,225,725.64
  5. Step 5: Solve for x
    x = 170,855,225,725.64/273,017.25
  6. Step 6: Final answer
    x = 625,803.78

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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.