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Finding the Third Proportional to 271,681 and 593,844

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Solution

The third proportional to 271,681 and 593,844 is: 1,298,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,681 : 593,844 = 593,844 : x
  2. Step 2: Convert to fraction form
    271,681/593,844 = 593,844/x
  3. Step 3: Cross multiply
    271,681x = 593,844 × 593,844
  4. Step 4: Simplify right side
    271,681x = 352,650,696,336
  5. Step 5: Solve for x
    x = 352,650,696,336/271,681
  6. Step 6: Final answer
    x = 1,298,032.24

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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.