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Finding the Third Proportional to 219,940 and 474,632

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Solution

The third proportional to 219,940 and 474,632 is: 1,024,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,940 : 474,632 = 474,632 : x
  2. Step 2: Convert to fraction form
    219,940/474,632 = 474,632/x
  3. Step 3: Cross multiply
    219,940x = 474,632 × 474,632
  4. Step 4: Simplify right side
    219,940x = 225,275,535,424
  5. Step 5: Solve for x
    x = 225,275,535,424/219,940
  6. Step 6: Final answer
    x = 1,024,259.05

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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.