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Finding the Third Proportional to 361,000.75 and 561,244.75

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Solution

The third proportional to 361,000.75 and 561,244.75 is: 872,562.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,000.75 : 561,244.75 = 561,244.75 : x
  2. Step 2: Convert to fraction form
    361,000.75/561,244.75 = 561,244.75/x
  3. Step 3: Cross multiply
    361,000.75x = 561,244.75 × 561,244.75
  4. Step 4: Simplify right side
    361,000.75x = 314,995,669,402.56
  5. Step 5: Solve for x
    x = 314,995,669,402.56/361,000.75
  6. Step 6: Final answer
    x = 872,562.37

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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.