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Finding the Third Proportional to 243,027 and 533,850

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Solution

The third proportional to 243,027 and 533,850 is: 1,172,692.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,027 : 533,850 = 533,850 : x
  2. Step 2: Convert to fraction form
    243,027/533,850 = 533,850/x
  3. Step 3: Cross multiply
    243,027x = 533,850 × 533,850
  4. Step 4: Simplify right side
    243,027x = 284,995,822,500
  5. Step 5: Solve for x
    x = 284,995,822,500/243,027
  6. Step 6: Final answer
    x = 1,172,692.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.