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Finding the Third Proportional to 361,857 and 500,017.50

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Solution

The third proportional to 361,857 and 500,017.50 is: 690,929.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,857 : 500,017.50 = 500,017.50 : x
  2. Step 2: Convert to fraction form
    361,857/500,017.50 = 500,017.50/x
  3. Step 3: Cross multiply
    361,857x = 500,017.50 × 500,017.50
  4. Step 4: Simplify right side
    361,857x = 250,017,500,306.25
  5. Step 5: Solve for x
    x = 250,017,500,306.25/361,857
  6. Step 6: Final answer
    x = 690,929.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.