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Finding the Third Proportional to 278,155.69 and 595,675.69

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Solution

The third proportional to 278,155.69 and 595,675.69 is: 1,275,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,155.69 : 595,675.69 = 595,675.69 : x
  2. Step 2: Convert to fraction form
    278,155.69/595,675.69 = 595,675.69/x
  3. Step 3: Cross multiply
    278,155.69x = 595,675.69 × 595,675.69
  4. Step 4: Simplify right side
    278,155.69x = 354,829,524,678.60
  5. Step 5: Solve for x
    x = 354,829,524,678.60/278,155.69
  6. Step 6: Final answer
    x = 1,275,650.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.