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Finding the Third Proportional to 220,661 and 472,426

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Solution

The third proportional to 220,661 and 472,426 is: 1,011,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,661 : 472,426 = 472,426 : x
  2. Step 2: Convert to fraction form
    220,661/472,426 = 472,426/x
  3. Step 3: Cross multiply
    220,661x = 472,426 × 472,426
  4. Step 4: Simplify right side
    220,661x = 223,186,325,476
  5. Step 5: Solve for x
    x = 223,186,325,476/220,661
  6. Step 6: Final answer
    x = 1,011,444.37

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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.