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Finding the Third Proportional to 378,148.50 and 797,607

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Solution

The third proportional to 378,148.50 and 797,607 is: 1,682,346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,148.50 : 797,607 = 797,607 : x
  2. Step 2: Convert to fraction form
    378,148.50/797,607 = 797,607/x
  3. Step 3: Cross multiply
    378,148.50x = 797,607 × 797,607
  4. Step 4: Simplify right side
    378,148.50x = 636,176,926,449
  5. Step 5: Solve for x
    x = 636,176,926,449/378,148.50
  6. Step 6: Final answer
    x = 1,682,346.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.