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Finding the Third Proportional to 417,441.38 and 893,911.50

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Solution

The third proportional to 417,441.38 and 893,911.50 is: 1,914,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,441.38 : 893,911.50 = 893,911.50 : x
  2. Step 2: Convert to fraction form
    417,441.38/893,911.50 = 893,911.50/x
  3. Step 3: Cross multiply
    417,441.38x = 893,911.50 × 893,911.50
  4. Step 4: Simplify right side
    417,441.38x = 799,077,769,832.25
  5. Step 5: Solve for x
    x = 799,077,769,832.25/417,441.38
  6. Step 6: Final answer
    x = 1,914,227.52

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Why These Related Problems?

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