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Finding the Third Proportional to 266,476 and 567,476

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Solution

The third proportional to 266,476 and 567,476 is: 1,208,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,476 : 567,476 = 567,476 : x
  2. Step 2: Convert to fraction form
    266,476/567,476 = 567,476/x
  3. Step 3: Cross multiply
    266,476x = 567,476 × 567,476
  4. Step 4: Simplify right side
    266,476x = 322,029,010,576
  5. Step 5: Solve for x
    x = 322,029,010,576/266,476
  6. Step 6: Final answer
    x = 1,208,472.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.