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Finding the Third Proportional to 292,417 and 440,786

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Solution

The third proportional to 292,417 and 440,786 is: 664,435.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,417 : 440,786 = 440,786 : x
  2. Step 2: Convert to fraction form
    292,417/440,786 = 440,786/x
  3. Step 3: Cross multiply
    292,417x = 440,786 × 440,786
  4. Step 4: Simplify right side
    292,417x = 194,292,297,796
  5. Step 5: Solve for x
    x = 194,292,297,796/292,417
  6. Step 6: Final answer
    x = 664,435.71

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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.