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Finding the Third Proportional to 266,544 and 400,584

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Solution

The third proportional to 266,544 and 400,584 is: 602,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,544 : 400,584 = 400,584 : x
  2. Step 2: Convert to fraction form
    266,544/400,584 = 400,584/x
  3. Step 3: Cross multiply
    266,544x = 400,584 × 400,584
  4. Step 4: Simplify right side
    266,544x = 160,467,541,056
  5. Step 5: Solve for x
    x = 160,467,541,056/266,544
  6. Step 6: Final answer
    x = 602,030.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.