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Finding the Third Proportional to 278,381 and 430,364

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Solution

The third proportional to 278,381 and 430,364 is: 665,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,381 : 430,364 = 430,364 : x
  2. Step 2: Convert to fraction form
    278,381/430,364 = 430,364/x
  3. Step 3: Cross multiply
    278,381x = 430,364 × 430,364
  4. Step 4: Simplify right side
    278,381x = 185,213,172,496
  5. Step 5: Solve for x
    x = 185,213,172,496/278,381
  6. Step 6: Final answer
    x = 665,322.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.