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Finding the Third Proportional to 211,540 and 460,952

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Solution

The third proportional to 211,540 and 460,952 is: 1,004,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,540 : 460,952 = 460,952 : x
  2. Step 2: Convert to fraction form
    211,540/460,952 = 460,952/x
  3. Step 3: Cross multiply
    211,540x = 460,952 × 460,952
  4. Step 4: Simplify right side
    211,540x = 212,476,746,304
  5. Step 5: Solve for x
    x = 212,476,746,304/211,540
  6. Step 6: Final answer
    x = 1,004,428.22

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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.