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Finding the Third Proportional to 433,098 and 648,990

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Solution

The third proportional to 433,098 and 648,990 is: 972,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,098 : 648,990 = 648,990 : x
  2. Step 2: Convert to fraction form
    433,098/648,990 = 648,990/x
  3. Step 3: Cross multiply
    433,098x = 648,990 × 648,990
  4. Step 4: Simplify right side
    433,098x = 421,188,020,100
  5. Step 5: Solve for x
    x = 421,188,020,100/433,098
  6. Step 6: Final answer
    x = 972,500.50

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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.