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Finding the Third Proportional to 266,218 and 576,698

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Solution

The third proportional to 266,218 and 576,698 is: 1,249,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,218 : 576,698 = 576,698 : x
  2. Step 2: Convert to fraction form
    266,218/576,698 = 576,698/x
  3. Step 3: Cross multiply
    266,218x = 576,698 × 576,698
  4. Step 4: Simplify right side
    266,218x = 332,580,583,204
  5. Step 5: Solve for x
    x = 332,580,583,204/266,218
  6. Step 6: Final answer
    x = 1,249,279.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.