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Finding the Third Proportional to 276,192 and 436,654

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Solution

The third proportional to 276,192 and 436,654 is: 690,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,192 : 436,654 = 436,654 : x
  2. Step 2: Convert to fraction form
    276,192/436,654 = 436,654/x
  3. Step 3: Cross multiply
    276,192x = 436,654 × 436,654
  4. Step 4: Simplify right side
    276,192x = 190,666,715,716
  5. Step 5: Solve for x
    x = 190,666,715,716/276,192
  6. Step 6: Final answer
    x = 690,341.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.