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Finding the Third Proportional to 278,552.25 and 430,606.13

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Solution

The third proportional to 278,552.25 and 430,606.13 is: 665,661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,552.25 : 430,606.13 = 430,606.13 : x
  2. Step 2: Convert to fraction form
    278,552.25/430,606.13 = 430,606.13/x
  3. Step 3: Cross multiply
    278,552.25x = 430,606.13 × 430,606.13
  4. Step 4: Simplify right side
    278,552.25x = 185,421,634,887.52
  5. Step 5: Solve for x
    x = 185,421,634,887.52/278,552.25
  6. Step 6: Final answer
    x = 665,661.95

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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.