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Finding the Third Proportional to 510,870 and 773,397

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Solution

The third proportional to 510,870 and 773,397 is: 1,170,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,870 : 773,397 = 773,397 : x
  2. Step 2: Convert to fraction form
    510,870/773,397 = 773,397/x
  3. Step 3: Cross multiply
    510,870x = 773,397 × 773,397
  4. Step 4: Simplify right side
    510,870x = 598,142,919,609
  5. Step 5: Solve for x
    x = 598,142,919,609/510,870
  6. Step 6: Final answer
    x = 1,170,831.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.