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Finding the Third Proportional to 210,541 and 460,449

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Solution

The third proportional to 210,541 and 460,449 is: 1,006,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,541 : 460,449 = 460,449 : x
  2. Step 2: Convert to fraction form
    210,541/460,449 = 460,449/x
  3. Step 3: Cross multiply
    210,541x = 460,449 × 460,449
  4. Step 4: Simplify right side
    210,541x = 212,013,281,601
  5. Step 5: Solve for x
    x = 212,013,281,601/210,541
  6. Step 6: Final answer
    x = 1,006,992.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.