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Finding the Third Proportional to 356,044 and 762,632

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Solution

The third proportional to 356,044 and 762,632 is: 1,633,527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,044 : 762,632 = 762,632 : x
  2. Step 2: Convert to fraction form
    356,044/762,632 = 762,632/x
  3. Step 3: Cross multiply
    356,044x = 762,632 × 762,632
  4. Step 4: Simplify right side
    356,044x = 581,607,567,424
  5. Step 5: Solve for x
    x = 581,607,567,424/356,044
  6. Step 6: Final answer
    x = 1,633,527.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.