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Finding the Third Proportional to 263,432 and 558,210

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Solution

The third proportional to 263,432 and 558,210 is: 1,182,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,432 : 558,210 = 558,210 : x
  2. Step 2: Convert to fraction form
    263,432/558,210 = 558,210/x
  3. Step 3: Cross multiply
    263,432x = 558,210 × 558,210
  4. Step 4: Simplify right side
    263,432x = 311,598,404,100
  5. Step 5: Solve for x
    x = 311,598,404,100/263,432
  6. Step 6: Final answer
    x = 1,182,841.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.