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Finding the Third Proportional to 414,201 and 893,756.25

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Solution

The third proportional to 414,201 and 893,756.25 is: 1,928,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,201 : 893,756.25 = 893,756.25 : x
  2. Step 2: Convert to fraction form
    414,201/893,756.25 = 893,756.25/x
  3. Step 3: Cross multiply
    414,201x = 893,756.25 × 893,756.25
  4. Step 4: Simplify right side
    414,201x = 798,800,234,414.06
  5. Step 5: Solve for x
    x = 798,800,234,414.06/414,201
  6. Step 6: Final answer
    x = 1,928,532.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.