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Finding the Third Proportional to 286,956 and 626,367.25

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Solution

The third proportional to 286,956 and 626,367.25 is: 1,367,233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,956 : 626,367.25 = 626,367.25 : x
  2. Step 2: Convert to fraction form
    286,956/626,367.25 = 626,367.25/x
  3. Step 3: Cross multiply
    286,956x = 626,367.25 × 626,367.25
  4. Step 4: Simplify right side
    286,956x = 392,335,931,872.56
  5. Step 5: Solve for x
    x = 392,335,931,872.56/286,956
  6. Step 6: Final answer
    x = 1,367,233.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.