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Finding the Third Proportional to 292,415 and 440,782

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Solution

The third proportional to 292,415 and 440,782 is: 664,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,415 : 440,782 = 440,782 : x
  2. Step 2: Convert to fraction form
    292,415/440,782 = 440,782/x
  3. Step 3: Cross multiply
    292,415x = 440,782 × 440,782
  4. Step 4: Simplify right side
    292,415x = 194,288,771,524
  5. Step 5: Solve for x
    x = 194,288,771,524/292,415
  6. Step 6: Final answer
    x = 664,428.20

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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.