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Finding the Third Proportional to 416,283 and 982,363.50

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Solution

The third proportional to 416,283 and 982,363.50 is: 2,318,225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,283 : 982,363.50 = 982,363.50 : x
  2. Step 2: Convert to fraction form
    416,283/982,363.50 = 982,363.50/x
  3. Step 3: Cross multiply
    416,283x = 982,363.50 × 982,363.50
  4. Step 4: Simplify right side
    416,283x = 965,038,046,132.25
  5. Step 5: Solve for x
    x = 965,038,046,132.25/416,283
  6. Step 6: Final answer
    x = 2,318,225.93

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.