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Finding the Third Proportional to 518,348 and 773,524

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Solution

The third proportional to 518,348 and 773,524 is: 1,154,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,348 : 773,524 = 773,524 : x
  2. Step 2: Convert to fraction form
    518,348/773,524 = 773,524/x
  3. Step 3: Cross multiply
    518,348x = 773,524 × 773,524
  4. Step 4: Simplify right side
    518,348x = 598,339,378,576
  5. Step 5: Solve for x
    x = 598,339,378,576/518,348
  6. Step 6: Final answer
    x = 1,154,319.84

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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.