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Finding the Third Proportional to 252,373.78 and 387,913.78

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Solution

The third proportional to 252,373.78 and 387,913.78 is: 596,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,373.78 : 387,913.78 = 387,913.78 : x
  2. Step 2: Convert to fraction form
    252,373.78/387,913.78 = 387,913.78/x
  3. Step 3: Cross multiply
    252,373.78x = 387,913.78 × 387,913.78
  4. Step 4: Simplify right side
    252,373.78x = 150,477,101,683.67
  5. Step 5: Solve for x
    x = 150,477,101,683.67/252,373.78
  6. Step 6: Final answer
    x = 596,246.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.