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Finding the Third Proportional to 213,044 and 464,223

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Solution

The third proportional to 213,044 and 464,223 is: 1,011,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,044 : 464,223 = 464,223 : x
  2. Step 2: Convert to fraction form
    213,044/464,223 = 464,223/x
  3. Step 3: Cross multiply
    213,044x = 464,223 × 464,223
  4. Step 4: Simplify right side
    213,044x = 215,502,993,729
  5. Step 5: Solve for x
    x = 215,502,993,729/213,044
  6. Step 6: Final answer
    x = 1,011,542.19

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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.