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Finding the Third Proportional to 407,908.50 and 894,216

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Solution

The third proportional to 407,908.50 and 894,216 is: 1,960,298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,908.50 : 894,216 = 894,216 : x
  2. Step 2: Convert to fraction form
    407,908.50/894,216 = 894,216/x
  3. Step 3: Cross multiply
    407,908.50x = 894,216 × 894,216
  4. Step 4: Simplify right side
    407,908.50x = 799,622,254,656
  5. Step 5: Solve for x
    x = 799,622,254,656/407,908.50
  6. Step 6: Final answer
    x = 1,960,298.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.