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Finding the Third Proportional to 291,118 and 462,922

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Solution

The third proportional to 291,118 and 462,922 is: 736,116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,118 : 462,922 = 462,922 : x
  2. Step 2: Convert to fraction form
    291,118/462,922 = 462,922/x
  3. Step 3: Cross multiply
    291,118x = 462,922 × 462,922
  4. Step 4: Simplify right side
    291,118x = 214,296,778,084
  5. Step 5: Solve for x
    x = 214,296,778,084/291,118
  6. Step 6: Final answer
    x = 736,116.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.