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Finding the Third Proportional to 271,973 and 592,335

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Solution

The third proportional to 271,973 and 592,335 is: 1,290,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,973 : 592,335 = 592,335 : x
  2. Step 2: Convert to fraction form
    271,973/592,335 = 592,335/x
  3. Step 3: Cross multiply
    271,973x = 592,335 × 592,335
  4. Step 4: Simplify right side
    271,973x = 350,860,752,225
  5. Step 5: Solve for x
    x = 350,860,752,225/271,973
  6. Step 6: Final answer
    x = 1,290,057.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.