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Finding the Third Proportional to 573,755 and 862,000

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Solution

The third proportional to 573,755 and 862,000 is: 1,295,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,755 : 862,000 = 862,000 : x
  2. Step 2: Convert to fraction form
    573,755/862,000 = 862,000/x
  3. Step 3: Cross multiply
    573,755x = 862,000 × 862,000
  4. Step 4: Simplify right side
    573,755x = 743,044,000,000
  5. Step 5: Solve for x
    x = 743,044,000,000/573,755
  6. Step 6: Final answer
    x = 1,295,054.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.