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Finding the Third Proportional to 246,414 and 527,820

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Solution

The third proportional to 246,414 and 527,820 is: 1,130,593.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,414 : 527,820 = 527,820 : x
  2. Step 2: Convert to fraction form
    246,414/527,820 = 527,820/x
  3. Step 3: Cross multiply
    246,414x = 527,820 × 527,820
  4. Step 4: Simplify right side
    246,414x = 278,593,952,400
  5. Step 5: Solve for x
    x = 278,593,952,400/246,414
  6. Step 6: Final answer
    x = 1,130,593.04

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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.