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Finding the Third Proportional to 372,398 and 797,281

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Solution

The third proportional to 372,398 and 797,281 is: 1,706,929.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,398 : 797,281 = 797,281 : x
  2. Step 2: Convert to fraction form
    372,398/797,281 = 797,281/x
  3. Step 3: Cross multiply
    372,398x = 797,281 × 797,281
  4. Step 4: Simplify right side
    372,398x = 635,656,992,961
  5. Step 5: Solve for x
    x = 635,656,992,961/372,398
  6. Step 6: Final answer
    x = 1,706,929.13

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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.