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Finding the Third Proportional to 414,448.50 and 608,071.50

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Solution

The third proportional to 414,448.50 and 608,071.50 is: 892,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,448.50 : 608,071.50 = 608,071.50 : x
  2. Step 2: Convert to fraction form
    414,448.50/608,071.50 = 608,071.50/x
  3. Step 3: Cross multiply
    414,448.50x = 608,071.50 × 608,071.50
  4. Step 4: Simplify right side
    414,448.50x = 369,750,949,112.25
  5. Step 5: Solve for x
    x = 369,750,949,112.25/414,448.50
  6. Step 6: Final answer
    x = 892,151.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.