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Finding the Third Proportional to 369,419.63 and 797,780.25

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Solution

The third proportional to 369,419.63 and 797,780.25 is: 1,722,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,419.63 : 797,780.25 = 797,780.25 : x
  2. Step 2: Convert to fraction form
    369,419.63/797,780.25 = 797,780.25/x
  3. Step 3: Cross multiply
    369,419.63x = 797,780.25 × 797,780.25
  4. Step 4: Simplify right side
    369,419.63x = 636,453,327,290.06
  5. Step 5: Solve for x
    x = 636,453,327,290.06/369,419.63
  6. Step 6: Final answer
    x = 1,722,846.55

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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.