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Finding the Third Proportional to 414,219 and 887,419.50

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Solution

The third proportional to 414,219 and 887,419.50 is: 1,901,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,219 : 887,419.50 = 887,419.50 : x
  2. Step 2: Convert to fraction form
    414,219/887,419.50 = 887,419.50/x
  3. Step 3: Cross multiply
    414,219x = 887,419.50 × 887,419.50
  4. Step 4: Simplify right side
    414,219x = 787,513,368,980.25
  5. Step 5: Solve for x
    x = 787,513,368,980.25/414,219
  6. Step 6: Final answer
    x = 1,901,200.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.