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Finding the Third Proportional to 211,299 and 464,070

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Solution

The third proportional to 211,299 and 464,070 is: 1,019,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,299 : 464,070 = 464,070 : x
  2. Step 2: Convert to fraction form
    211,299/464,070 = 464,070/x
  3. Step 3: Cross multiply
    211,299x = 464,070 × 464,070
  4. Step 4: Simplify right side
    211,299x = 215,360,964,900
  5. Step 5: Solve for x
    x = 215,360,964,900/211,299
  6. Step 6: Final answer
    x = 1,019,223.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.