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Finding the Third Proportional to 661,239 and 982,138.50

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Solution

The third proportional to 661,239 and 982,138.50 is: 1,458,770.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,239 : 982,138.50 = 982,138.50 : x
  2. Step 2: Convert to fraction form
    661,239/982,138.50 = 982,138.50/x
  3. Step 3: Cross multiply
    661,239x = 982,138.50 × 982,138.50
  4. Step 4: Simplify right side
    661,239x = 964,596,033,182.25
  5. Step 5: Solve for x
    x = 964,596,033,182.25/661,239
  6. Step 6: Final answer
    x = 1,458,770.63

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