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Finding the Third Proportional to 661,230 and 982,125

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Solution

The third proportional to 661,230 and 982,125 is: 1,458,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,230 : 982,125 = 982,125 : x
  2. Step 2: Convert to fraction form
    661,230/982,125 = 982,125/x
  3. Step 3: Cross multiply
    661,230x = 982,125 × 982,125
  4. Step 4: Simplify right side
    661,230x = 964,569,515,625
  5. Step 5: Solve for x
    x = 964,569,515,625/661,230
  6. Step 6: Final answer
    x = 1,458,750.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.