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Finding the Third Proportional to 274,257 and 416,677.50

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Solution

The third proportional to 274,257 and 416,677.50 is: 633,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,257 : 416,677.50 = 416,677.50 : x
  2. Step 2: Convert to fraction form
    274,257/416,677.50 = 416,677.50/x
  3. Step 3: Cross multiply
    274,257x = 416,677.50 × 416,677.50
  4. Step 4: Simplify right side
    274,257x = 173,620,139,006.25
  5. Step 5: Solve for x
    x = 173,620,139,006.25/274,257
  6. Step 6: Final answer
    x = 633,056.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.