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Finding the Third Proportional to 266,751 and 474,291

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Solution

The third proportional to 266,751 and 474,291 is: 843,303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,751 : 474,291 = 474,291 : x
  2. Step 2: Convert to fraction form
    266,751/474,291 = 474,291/x
  3. Step 3: Cross multiply
    266,751x = 474,291 × 474,291
  4. Step 4: Simplify right side
    266,751x = 224,951,952,681
  5. Step 5: Solve for x
    x = 224,951,952,681/266,751
  6. Step 6: Final answer
    x = 843,303.13

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.