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Finding the Third Proportional to 266,536 and 572,596

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Solution

The third proportional to 266,536 and 572,596 is: 1,230,100.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,536 : 572,596 = 572,596 : x
  2. Step 2: Convert to fraction form
    266,536/572,596 = 572,596/x
  3. Step 3: Cross multiply
    266,536x = 572,596 × 572,596
  4. Step 4: Simplify right side
    266,536x = 327,866,179,216
  5. Step 5: Solve for x
    x = 327,866,179,216/266,536
  6. Step 6: Final answer
    x = 1,230,100.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.