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Finding the Third Proportional to 518,350 and 773,529

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Solution

The third proportional to 518,350 and 773,529 is: 1,154,330.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,350 : 773,529 = 773,529 : x
  2. Step 2: Convert to fraction form
    518,350/773,529 = 773,529/x
  3. Step 3: Cross multiply
    518,350x = 773,529 × 773,529
  4. Step 4: Simplify right side
    518,350x = 598,347,113,841
  5. Step 5: Solve for x
    x = 598,347,113,841/518,350
  6. Step 6: Final answer
    x = 1,154,330.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.