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Finding the Third Proportional to 266,623 and 375,040

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Solution

The third proportional to 266,623 and 375,040 is: 527,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,623 : 375,040 = 375,040 : x
  2. Step 2: Convert to fraction form
    266,623/375,040 = 375,040/x
  3. Step 3: Cross multiply
    266,623x = 375,040 × 375,040
  4. Step 4: Simplify right side
    266,623x = 140,655,001,600
  5. Step 5: Solve for x
    x = 140,655,001,600/266,623
  6. Step 6: Final answer
    x = 527,542.64

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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.