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Finding the Third Proportional to 218,946 and 472,074

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Solution

The third proportional to 218,946 and 472,074 is: 1,017,848.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,946 : 472,074 = 472,074 : x
  2. Step 2: Convert to fraction form
    218,946/472,074 = 472,074/x
  3. Step 3: Cross multiply
    218,946x = 472,074 × 472,074
  4. Step 4: Simplify right side
    218,946x = 222,853,861,476
  5. Step 5: Solve for x
    x = 222,853,861,476/218,946
  6. Step 6: Final answer
    x = 1,017,848.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.