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Finding the Third Proportional to 633,948 and 982,414.50

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Solution

The third proportional to 633,948 and 982,414.50 is: 1,522,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,948 : 982,414.50 = 982,414.50 : x
  2. Step 2: Convert to fraction form
    633,948/982,414.50 = 982,414.50/x
  3. Step 3: Cross multiply
    633,948x = 982,414.50 × 982,414.50
  4. Step 4: Simplify right side
    633,948x = 965,138,249,810.25
  5. Step 5: Solve for x
    x = 965,138,249,810.25/633,948
  6. Step 6: Final answer
    x = 1,522,424.95

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