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Finding the Third Proportional to 482,555 and 952,998.50

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Solution

The third proportional to 482,555 and 952,998.50 is: 1,882,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,555 : 952,998.50 = 952,998.50 : x
  2. Step 2: Convert to fraction form
    482,555/952,998.50 = 952,998.50/x
  3. Step 3: Cross multiply
    482,555x = 952,998.50 × 952,998.50
  4. Step 4: Simplify right side
    482,555x = 908,206,141,002.25
  5. Step 5: Solve for x
    x = 908,206,141,002.25/482,555
  6. Step 6: Final answer
    x = 1,882,077.98

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.