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Finding the Third Proportional to 271,299 and 579,963

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Solution

The third proportional to 271,299 and 579,963 is: 1,239,802.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,299 : 579,963 = 579,963 : x
  2. Step 2: Convert to fraction form
    271,299/579,963 = 579,963/x
  3. Step 3: Cross multiply
    271,299x = 579,963 × 579,963
  4. Step 4: Simplify right side
    271,299x = 336,357,081,369
  5. Step 5: Solve for x
    x = 336,357,081,369/271,299
  6. Step 6: Final answer
    x = 1,239,802.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.