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Finding the Third Proportional to 266,648 and 375,023

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Solution

The third proportional to 266,648 and 375,023 is: 527,445.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,648 : 375,023 = 375,023 : x
  2. Step 2: Convert to fraction form
    266,648/375,023 = 375,023/x
  3. Step 3: Cross multiply
    266,648x = 375,023 × 375,023
  4. Step 4: Simplify right side
    266,648x = 140,642,250,529
  5. Step 5: Solve for x
    x = 140,642,250,529/266,648
  6. Step 6: Final answer
    x = 527,445.36

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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.