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Finding the Third Proportional to 414,572 and 878,964.50

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Solution

The third proportional to 414,572 and 878,964.50 is: 1,863,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,572 : 878,964.50 = 878,964.50 : x
  2. Step 2: Convert to fraction form
    414,572/878,964.50 = 878,964.50/x
  3. Step 3: Cross multiply
    414,572x = 878,964.50 × 878,964.50
  4. Step 4: Simplify right side
    414,572x = 772,578,592,260.25
  5. Step 5: Solve for x
    x = 772,578,592,260.25/414,572
  6. Step 6: Final answer
    x = 1,863,557.10

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.