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Finding the Third Proportional to 550,281 and 723,616.50

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Solution

The third proportional to 550,281 and 723,616.50 is: 951,551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,281 : 723,616.50 = 723,616.50 : x
  2. Step 2: Convert to fraction form
    550,281/723,616.50 = 723,616.50/x
  3. Step 3: Cross multiply
    550,281x = 723,616.50 × 723,616.50
  4. Step 4: Simplify right side
    550,281x = 523,620,839,072.25
  5. Step 5: Solve for x
    x = 523,620,839,072.25/550,281
  6. Step 6: Final answer
    x = 951,551.73

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.