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Finding the Third Proportional to 466,537.50 and 862,992

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Solution

The third proportional to 466,537.50 and 862,992 is: 1,596,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,537.50 : 862,992 = 862,992 : x
  2. Step 2: Convert to fraction form
    466,537.50/862,992 = 862,992/x
  3. Step 3: Cross multiply
    466,537.50x = 862,992 × 862,992
  4. Step 4: Simplify right side
    466,537.50x = 744,755,192,064
  5. Step 5: Solve for x
    x = 744,755,192,064/466,537.50
  6. Step 6: Final answer
    x = 1,596,345.83

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.