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Finding the Third Proportional to 369,419.50 and 797,780

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Solution

The third proportional to 369,419.50 and 797,780 is: 1,722,846.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,419.50 : 797,780 = 797,780 : x
  2. Step 2: Convert to fraction form
    369,419.50/797,780 = 797,780/x
  3. Step 3: Cross multiply
    369,419.50x = 797,780 × 797,780
  4. Step 4: Simplify right side
    369,419.50x = 636,452,928,400
  5. Step 5: Solve for x
    x = 636,452,928,400/369,419.50
  6. Step 6: Final answer
    x = 1,722,846.06

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