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Finding the Third Proportional to 220,410 and 480,780

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Solution

The third proportional to 220,410 and 480,780 is: 1,048,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,410 : 480,780 = 480,780 : x
  2. Step 2: Convert to fraction form
    220,410/480,780 = 480,780/x
  3. Step 3: Cross multiply
    220,410x = 480,780 × 480,780
  4. Step 4: Simplify right side
    220,410x = 231,149,408,400
  5. Step 5: Solve for x
    x = 231,149,408,400/220,410
  6. Step 6: Final answer
    x = 1,048,724.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.