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Finding the Third Proportional to 360,996.75 and 561,238.88

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Solution

The third proportional to 360,996.75 and 561,238.88 is: 872,553.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,996.75 : 561,238.88 = 561,238.88 : x
  2. Step 2: Convert to fraction form
    360,996.75/561,238.88 = 561,238.88/x
  3. Step 3: Cross multiply
    360,996.75x = 561,238.88 × 561,238.88
  4. Step 4: Simplify right side
    360,996.75x = 314,989,074,811.27
  5. Step 5: Solve for x
    x = 314,989,074,811.27/360,996.75
  6. Step 6: Final answer
    x = 872,553.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.