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Finding the Third Proportional to 473,234.50 and 688,251.50

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Solution

The third proportional to 473,234.50 and 688,251.50 is: 1,000,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,234.50 : 688,251.50 = 688,251.50 : x
  2. Step 2: Convert to fraction form
    473,234.50/688,251.50 = 688,251.50/x
  3. Step 3: Cross multiply
    473,234.50x = 688,251.50 × 688,251.50
  4. Step 4: Simplify right side
    473,234.50x = 473,690,127,252.25
  5. Step 5: Solve for x
    x = 473,690,127,252.25/473,234.50
  6. Step 6: Final answer
    x = 1,000,962.79

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.