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Finding the Third Proportional to 510,738.75 and 773,209.13

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Solution

The third proportional to 510,738.75 and 773,209.13 is: 1,170,563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,738.75 : 773,209.13 = 773,209.13 : x
  2. Step 2: Convert to fraction form
    510,738.75/773,209.13 = 773,209.13/x
  3. Step 3: Cross multiply
    510,738.75x = 773,209.13 × 773,209.13
  4. Step 4: Simplify right side
    510,738.75x = 597,852,350,983.27
  5. Step 5: Solve for x
    x = 597,852,350,983.27/510,738.75
  6. Step 6: Final answer
    x = 1,170,563.92

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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.