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Finding the Third Proportional to 510,739.50 and 773,211

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Solution

The third proportional to 510,739.50 and 773,211 is: 1,170,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,739.50 : 773,211 = 773,211 : x
  2. Step 2: Convert to fraction form
    510,739.50/773,211 = 773,211/x
  3. Step 3: Cross multiply
    510,739.50x = 773,211 × 773,211
  4. Step 4: Simplify right side
    510,739.50x = 597,855,250,521
  5. Step 5: Solve for x
    x = 597,855,250,521/510,739.50
  6. Step 6: Final answer
    x = 1,170,567.87

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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.