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Finding the Third Proportional to 369,390.38 and 797,829.75

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Solution

The third proportional to 369,390.38 and 797,829.75 is: 1,723,196.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,390.38 : 797,829.75 = 797,829.75 : x
  2. Step 2: Convert to fraction form
    369,390.38/797,829.75 = 797,829.75/x
  3. Step 3: Cross multiply
    369,390.38x = 797,829.75 × 797,829.75
  4. Step 4: Simplify right side
    369,390.38x = 636,532,309,985.06
  5. Step 5: Solve for x
    x = 636,532,309,985.06/369,390.38
  6. Step 6: Final answer
    x = 1,723,196.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.