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Finding the Third Proportional to 513,561 and 798,375

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Solution

The third proportional to 513,561 and 798,375 is: 1,241,143.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,561 : 798,375 = 798,375 : x
  2. Step 2: Convert to fraction form
    513,561/798,375 = 798,375/x
  3. Step 3: Cross multiply
    513,561x = 798,375 × 798,375
  4. Step 4: Simplify right side
    513,561x = 637,402,640,625
  5. Step 5: Solve for x
    x = 637,402,640,625/513,561
  6. Step 6: Final answer
    x = 1,241,143.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.