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Finding the Third Proportional to 266,627 and 375,046

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Solution

The third proportional to 266,627 and 375,046 is: 527,551.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,627 : 375,046 = 375,046 : x
  2. Step 2: Convert to fraction form
    266,627/375,046 = 375,046/x
  3. Step 3: Cross multiply
    266,627x = 375,046 × 375,046
  4. Step 4: Simplify right side
    266,627x = 140,659,502,116
  5. Step 5: Solve for x
    x = 140,659,502,116/266,627
  6. Step 6: Final answer
    x = 527,551.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.