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Finding the Third Proportional to 363,117.50 and 797,894.50

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Solution

The third proportional to 363,117.50 and 797,894.50 is: 1,753,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,117.50 : 797,894.50 = 797,894.50 : x
  2. Step 2: Convert to fraction form
    363,117.50/797,894.50 = 797,894.50/x
  3. Step 3: Cross multiply
    363,117.50x = 797,894.50 × 797,894.50
  4. Step 4: Simplify right side
    363,117.50x = 636,635,633,130.25
  5. Step 5: Solve for x
    x = 636,635,633,130.25/363,117.50
  6. Step 6: Final answer
    x = 1,753,249.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.