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Finding the Third Proportional to 220,700 and 472,504

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Solution

The third proportional to 220,700 and 472,504 is: 1,011,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,700 : 472,504 = 472,504 : x
  2. Step 2: Convert to fraction form
    220,700/472,504 = 472,504/x
  3. Step 3: Cross multiply
    220,700x = 472,504 × 472,504
  4. Step 4: Simplify right side
    220,700x = 223,260,030,016
  5. Step 5: Solve for x
    x = 223,260,030,016/220,700
  6. Step 6: Final answer
    x = 1,011,599.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.