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Finding the Third Proportional to 288,632 and 633,031

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Solution

The third proportional to 288,632 and 633,031 is: 1,388,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,632 : 633,031 = 633,031 : x
  2. Step 2: Convert to fraction form
    288,632/633,031 = 633,031/x
  3. Step 3: Cross multiply
    288,632x = 633,031 × 633,031
  4. Step 4: Simplify right side
    288,632x = 400,728,246,961
  5. Step 5: Solve for x
    x = 400,728,246,961/288,632
  6. Step 6: Final answer
    x = 1,388,370.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.