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Finding the Third Proportional to 286,679.25 and 430,737.75

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Solution

The third proportional to 286,679.25 and 430,737.75 is: 647,186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,679.25 : 430,737.75 = 430,737.75 : x
  2. Step 2: Convert to fraction form
    286,679.25/430,737.75 = 430,737.75/x
  3. Step 3: Cross multiply
    286,679.25x = 430,737.75 × 430,737.75
  4. Step 4: Simplify right side
    286,679.25x = 185,535,009,275.06
  5. Step 5: Solve for x
    x = 185,535,009,275.06/286,679.25
  6. Step 6: Final answer
    x = 647,186.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.