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Finding the Third Proportional to 278,113 and 430,833.50

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Solution

The third proportional to 278,113 and 430,833.50 is: 667,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,113 : 430,833.50 = 430,833.50 : x
  2. Step 2: Convert to fraction form
    278,113/430,833.50 = 430,833.50/x
  3. Step 3: Cross multiply
    278,113x = 430,833.50 × 430,833.50
  4. Step 4: Simplify right side
    278,113x = 185,617,504,722.25
  5. Step 5: Solve for x
    x = 185,617,504,722.25/278,113
  6. Step 6: Final answer
    x = 667,417.58

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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.