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Finding the Third Proportional to 246,405 and 527,802

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Solution

The third proportional to 246,405 and 527,802 is: 1,130,557.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,405 : 527,802 = 527,802 : x
  2. Step 2: Convert to fraction form
    246,405/527,802 = 527,802/x
  3. Step 3: Cross multiply
    246,405x = 527,802 × 527,802
  4. Step 4: Simplify right side
    246,405x = 278,574,951,204
  5. Step 5: Solve for x
    x = 278,574,951,204/246,405
  6. Step 6: Final answer
    x = 1,130,557.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.