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Finding the Third Proportional to 215,519 and 468,342

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Solution

The third proportional to 215,519 and 468,342 is: 1,017,748.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,519 : 468,342 = 468,342 : x
  2. Step 2: Convert to fraction form
    215,519/468,342 = 468,342/x
  3. Step 3: Cross multiply
    215,519x = 468,342 × 468,342
  4. Step 4: Simplify right side
    215,519x = 219,344,228,964
  5. Step 5: Solve for x
    x = 219,344,228,964/215,519
  6. Step 6: Final answer
    x = 1,017,748.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.