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Finding the Third Proportional to 361,002.75 and 561,247.50

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Solution

The third proportional to 361,002.75 and 561,247.50 is: 872,566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,002.75 : 561,247.50 = 561,247.50 : x
  2. Step 2: Convert to fraction form
    361,002.75/561,247.50 = 561,247.50/x
  3. Step 3: Cross multiply
    361,002.75x = 561,247.50 × 561,247.50
  4. Step 4: Simplify right side
    361,002.75x = 314,998,756,256.25
  5. Step 5: Solve for x
    x = 314,998,756,256.25/361,002.75
  6. Step 6: Final answer
    x = 872,566.09

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