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Finding the Third Proportional to 416,880 and 910,030.50

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Solution

The third proportional to 416,880 and 910,030.50 is: 1,986,556.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,880 : 910,030.50 = 910,030.50 : x
  2. Step 2: Convert to fraction form
    416,880/910,030.50 = 910,030.50/x
  3. Step 3: Cross multiply
    416,880x = 910,030.50 × 910,030.50
  4. Step 4: Simplify right side
    416,880x = 828,155,510,930.25
  5. Step 5: Solve for x
    x = 828,155,510,930.25/416,880
  6. Step 6: Final answer
    x = 1,986,556.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.