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Finding the Third Proportional to 493,305.19 and 741,427.17

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Solution

The third proportional to 493,305.19 and 741,427.17 is: 1,114,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,305.19 : 741,427.17 = 741,427.17 : x
  2. Step 2: Convert to fraction form
    493,305.19/741,427.17 = 741,427.17/x
  3. Step 3: Cross multiply
    493,305.19x = 741,427.17 × 741,427.17
  4. Step 4: Simplify right side
    493,305.19x = 549,714,251,194.56
  5. Step 5: Solve for x
    x = 549,714,251,194.56/493,305.19
  6. Step 6: Final answer
    x = 1,114,349.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.