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Finding the Third Proportional to 252,435.38 and 540,338.06

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Solution

The third proportional to 252,435.38 and 540,338.06 is: 1,156,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,435.38 : 540,338.06 = 540,338.06 : x
  2. Step 2: Convert to fraction form
    252,435.38/540,338.06 = 540,338.06/x
  3. Step 3: Cross multiply
    252,435.38x = 540,338.06 × 540,338.06
  4. Step 4: Simplify right side
    252,435.38x = 291,965,221,786.25
  5. Step 5: Solve for x
    x = 291,965,221,786.25/252,435.38
  6. Step 6: Final answer
    x = 1,156,593.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.