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Finding the Third Proportional to 474,784.03 and 982,817.30

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Solution

The third proportional to 474,784.03 and 982,817.30 is: 2,034,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,784.03 : 982,817.30 = 982,817.30 : x
  2. Step 2: Convert to fraction form
    474,784.03/982,817.30 = 982,817.30/x
  3. Step 3: Cross multiply
    474,784.03x = 982,817.30 × 982,817.30
  4. Step 4: Simplify right side
    474,784.03x = 965,929,839,036.68
  5. Step 5: Solve for x
    x = 965,929,839,036.68/474,784.03
  6. Step 6: Final answer
    x = 2,034,461.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.