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Finding the Third Proportional to 518,352 and 773,532

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Solution

The third proportional to 518,352 and 773,532 is: 1,154,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,352 : 773,532 = 773,532 : x
  2. Step 2: Convert to fraction form
    518,352/773,532 = 773,532/x
  3. Step 3: Cross multiply
    518,352x = 773,532 × 773,532
  4. Step 4: Simplify right side
    518,352x = 598,351,755,024
  5. Step 5: Solve for x
    x = 598,351,755,024/518,352
  6. Step 6: Final answer
    x = 1,154,334.81

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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.