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Finding the Third Proportional to 271,910 and 596,348

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Solution

The third proportional to 271,910 and 596,348 is: 1,307,899.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,910 : 596,348 = 596,348 : x
  2. Step 2: Convert to fraction form
    271,910/596,348 = 596,348/x
  3. Step 3: Cross multiply
    271,910x = 596,348 × 596,348
  4. Step 4: Simplify right side
    271,910x = 355,630,937,104
  5. Step 5: Solve for x
    x = 355,630,937,104/271,910
  6. Step 6: Final answer
    x = 1,307,899.44

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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.