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Finding the Third Proportional to 231,814 and 488,535

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Solution

The third proportional to 231,814 and 488,535 is: 1,029,560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,814 : 488,535 = 488,535 : x
  2. Step 2: Convert to fraction form
    231,814/488,535 = 488,535/x
  3. Step 3: Cross multiply
    231,814x = 488,535 × 488,535
  4. Step 4: Simplify right side
    231,814x = 238,666,446,225
  5. Step 5: Solve for x
    x = 238,666,446,225/231,814
  6. Step 6: Final answer
    x = 1,029,560.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.