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Finding the Third Proportional to 633,417.75 and 982,266.75

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Solution

The third proportional to 633,417.75 and 982,266.75 is: 1,523,241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,417.75 : 982,266.75 = 982,266.75 : x
  2. Step 2: Convert to fraction form
    633,417.75/982,266.75 = 982,266.75/x
  3. Step 3: Cross multiply
    633,417.75x = 982,266.75 × 982,266.75
  4. Step 4: Simplify right side
    633,417.75x = 964,847,968,155.56
  5. Step 5: Solve for x
    x = 964,847,968,155.56/633,417.75
  6. Step 6: Final answer
    x = 1,523,241.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.