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Finding the Third Proportional to 218,020 and 467,564

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Solution

The third proportional to 218,020 and 467,564 is: 1,002,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,020 : 467,564 = 467,564 : x
  2. Step 2: Convert to fraction form
    218,020/467,564 = 467,564/x
  3. Step 3: Cross multiply
    218,020x = 467,564 × 467,564
  4. Step 4: Simplify right side
    218,020x = 218,616,094,096
  5. Step 5: Solve for x
    x = 218,616,094,096/218,020
  6. Step 6: Final answer
    x = 1,002,734.13

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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.