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Finding the Third Proportional to 559,699.50 and 844,233

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Solution

The third proportional to 559,699.50 and 844,233 is: 1,273,414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,699.50 : 844,233 = 844,233 : x
  2. Step 2: Convert to fraction form
    559,699.50/844,233 = 844,233/x
  3. Step 3: Cross multiply
    559,699.50x = 844,233 × 844,233
  4. Step 4: Simplify right side
    559,699.50x = 712,729,358,289
  5. Step 5: Solve for x
    x = 712,729,358,289/559,699.50
  6. Step 6: Final answer
    x = 1,273,414.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.