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Finding the Third Proportional to 361,121 and 561,787.50

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Solution

The third proportional to 361,121 and 561,787.50 is: 873,959.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,121 : 561,787.50 = 561,787.50 : x
  2. Step 2: Convert to fraction form
    361,121/561,787.50 = 561,787.50/x
  3. Step 3: Cross multiply
    361,121x = 561,787.50 × 561,787.50
  4. Step 4: Simplify right side
    361,121x = 315,605,195,156.25
  5. Step 5: Solve for x
    x = 315,605,195,156.25/361,121
  6. Step 6: Final answer
    x = 873,959.68

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.