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Finding the Third Proportional to 232,210 and 474,259

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Solution

The third proportional to 232,210 and 474,259 is: 968,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,210 : 474,259 = 474,259 : x
  2. Step 2: Convert to fraction form
    232,210/474,259 = 474,259/x
  3. Step 3: Cross multiply
    232,210x = 474,259 × 474,259
  4. Step 4: Simplify right side
    232,210x = 224,921,599,081
  5. Step 5: Solve for x
    x = 224,921,599,081/232,210
  6. Step 6: Final answer
    x = 968,612.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.