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Finding the Third Proportional to 373,448 and 819,460

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Solution

The third proportional to 373,448 and 819,460 is: 1,798,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,448 : 819,460 = 819,460 : x
  2. Step 2: Convert to fraction form
    373,448/819,460 = 819,460/x
  3. Step 3: Cross multiply
    373,448x = 819,460 × 819,460
  4. Step 4: Simplify right side
    373,448x = 671,514,691,600
  5. Step 5: Solve for x
    x = 671,514,691,600/373,448
  6. Step 6: Final answer
    x = 1,798,147.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.