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Finding the Third Proportional to 246,924 and 533,304

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Solution

The third proportional to 246,924 and 533,304 is: 1,151,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,924 : 533,304 = 533,304 : x
  2. Step 2: Convert to fraction form
    246,924/533,304 = 533,304/x
  3. Step 3: Cross multiply
    246,924x = 533,304 × 533,304
  4. Step 4: Simplify right side
    246,924x = 284,413,156,416
  5. Step 5: Solve for x
    x = 284,413,156,416/246,924
  6. Step 6: Final answer
    x = 1,151,824.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.