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Finding the Third Proportional to 292,398 and 440,757

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Solution

The third proportional to 292,398 and 440,757 is: 664,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,398 : 440,757 = 440,757 : x
  2. Step 2: Convert to fraction form
    292,398/440,757 = 440,757/x
  3. Step 3: Cross multiply
    292,398x = 440,757 × 440,757
  4. Step 4: Simplify right side
    292,398x = 194,266,733,049
  5. Step 5: Solve for x
    x = 194,266,733,049/292,398
  6. Step 6: Final answer
    x = 664,391.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.