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Finding the Third Proportional to 332,602.50 and 498,390

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Solution

The third proportional to 332,602.50 and 498,390 is: 746,815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,602.50 : 498,390 = 498,390 : x
  2. Step 2: Convert to fraction form
    332,602.50/498,390 = 498,390/x
  3. Step 3: Cross multiply
    332,602.50x = 498,390 × 498,390
  4. Step 4: Simplify right side
    332,602.50x = 248,392,592,100
  5. Step 5: Solve for x
    x = 248,392,592,100/332,602.50
  6. Step 6: Final answer
    x = 746,815.17

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Why These Related Problems?

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