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Finding the Third Proportional to 372,443.06 and 797,374.13

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Solution

The third proportional to 372,443.06 and 797,374.13 is: 1,707,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,443.06 : 797,374.13 = 797,374.13 : x
  2. Step 2: Convert to fraction form
    372,443.06/797,374.13 = 797,374.13/x
  3. Step 3: Cross multiply
    372,443.06x = 797,374.13 × 797,374.13
  4. Step 4: Simplify right side
    372,443.06x = 635,805,495,219.52
  5. Step 5: Solve for x
    x = 635,805,495,219.52/372,443.06
  6. Step 6: Final answer
    x = 1,707,121.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.