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Finding the Third Proportional to 278,051 and 430,901

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Solution

The third proportional to 278,051 and 430,901 is: 667,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,051 : 430,901 = 430,901 : x
  2. Step 2: Convert to fraction form
    278,051/430,901 = 430,901/x
  3. Step 3: Cross multiply
    278,051x = 430,901 × 430,901
  4. Step 4: Simplify right side
    278,051x = 185,675,671,801
  5. Step 5: Solve for x
    x = 185,675,671,801/278,051
  6. Step 6: Final answer
    x = 667,775.59

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