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Finding the Third Proportional to 261,796 and 384,376

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Solution

The third proportional to 261,796 and 384,376 is: 564,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,796 : 384,376 = 384,376 : x
  2. Step 2: Convert to fraction form
    261,796/384,376 = 384,376/x
  3. Step 3: Cross multiply
    261,796x = 384,376 × 384,376
  4. Step 4: Simplify right side
    261,796x = 147,744,909,376
  5. Step 5: Solve for x
    x = 147,744,909,376/261,796
  6. Step 6: Final answer
    x = 564,351.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.