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Finding the Third Proportional to 327,484 and 520,748

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Solution

The third proportional to 327,484 and 520,748 is: 828,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,484 : 520,748 = 520,748 : x
  2. Step 2: Convert to fraction form
    327,484/520,748 = 520,748/x
  3. Step 3: Cross multiply
    327,484x = 520,748 × 520,748
  4. Step 4: Simplify right side
    327,484x = 271,178,479,504
  5. Step 5: Solve for x
    x = 271,178,479,504/327,484
  6. Step 6: Final answer
    x = 828,066.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.