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Finding the Third Proportional to 361,013.63 and 561,262.50

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Solution

The third proportional to 361,013.63 and 561,262.50 is: 872,586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,013.63 : 561,262.50 = 561,262.50 : x
  2. Step 2: Convert to fraction form
    361,013.63/561,262.50 = 561,262.50/x
  3. Step 3: Cross multiply
    361,013.63x = 561,262.50 × 561,262.50
  4. Step 4: Simplify right side
    361,013.63x = 315,015,593,906.25
  5. Step 5: Solve for x
    x = 315,015,593,906.25/361,013.63
  6. Step 6: Final answer
    x = 872,586.44

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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.