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Finding the Third Proportional to 266,288 and 579,596

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Solution

The third proportional to 266,288 and 579,596 is: 1,261,534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,288 : 579,596 = 579,596 : x
  2. Step 2: Convert to fraction form
    266,288/579,596 = 579,596/x
  3. Step 3: Cross multiply
    266,288x = 579,596 × 579,596
  4. Step 4: Simplify right side
    266,288x = 335,931,523,216
  5. Step 5: Solve for x
    x = 335,931,523,216/266,288
  6. Step 6: Final answer
    x = 1,261,534.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.