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Finding the Third Proportional to 373,510 and 819,580

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Solution

The third proportional to 373,510 and 819,580 is: 1,798,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,510 : 819,580 = 819,580 : x
  2. Step 2: Convert to fraction form
    373,510/819,580 = 819,580/x
  3. Step 3: Cross multiply
    373,510x = 819,580 × 819,580
  4. Step 4: Simplify right side
    373,510x = 671,711,376,400
  5. Step 5: Solve for x
    x = 671,711,376,400/373,510
  6. Step 6: Final answer
    x = 1,798,375.88

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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.