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Finding the Third Proportional to 327,514 and 520,792

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Solution

The third proportional to 327,514 and 520,792 is: 828,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,514 : 520,792 = 520,792 : x
  2. Step 2: Convert to fraction form
    327,514/520,792 = 520,792/x
  3. Step 3: Cross multiply
    327,514x = 520,792 × 520,792
  4. Step 4: Simplify right side
    327,514x = 271,224,307,264
  5. Step 5: Solve for x
    x = 271,224,307,264/327,514
  6. Step 6: Final answer
    x = 828,130.42

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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.