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Finding the Third Proportional to 246,942 and 532,359

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Solution

The third proportional to 246,942 and 532,359 is: 1,147,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,942 : 532,359 = 532,359 : x
  2. Step 2: Convert to fraction form
    246,942/532,359 = 532,359/x
  3. Step 3: Cross multiply
    246,942x = 532,359 × 532,359
  4. Step 4: Simplify right side
    246,942x = 283,406,104,881
  5. Step 5: Solve for x
    x = 283,406,104,881/246,942
  6. Step 6: Final answer
    x = 1,147,662.63

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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.