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Finding the Third Proportional to 372,399 and 797,284

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Solution

The third proportional to 372,399 and 797,284 is: 1,706,937.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,399 : 797,284 = 797,284 : x
  2. Step 2: Convert to fraction form
    372,399/797,284 = 797,284/x
  3. Step 3: Cross multiply
    372,399x = 797,284 × 797,284
  4. Step 4: Simplify right side
    372,399x = 635,661,776,656
  5. Step 5: Solve for x
    x = 635,661,776,656/372,399
  6. Step 6: Final answer
    x = 1,706,937.39

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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.