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Finding the Third Proportional to 559,794 and 842,499

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Solution

The third proportional to 559,794 and 842,499 is: 1,267,974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,794 : 842,499 = 842,499 : x
  2. Step 2: Convert to fraction form
    559,794/842,499 = 842,499/x
  3. Step 3: Cross multiply
    559,794x = 842,499 × 842,499
  4. Step 4: Simplify right side
    559,794x = 709,804,565,001
  5. Step 5: Solve for x
    x = 709,804,565,001/559,794
  6. Step 6: Final answer
    x = 1,267,974.59

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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.