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Finding the Third Proportional to 300,313.13 and 404,502.19

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Solution

The third proportional to 300,313.13 and 404,502.19 is: 544,838.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,313.13 : 404,502.19 = 404,502.19 : x
  2. Step 2: Convert to fraction form
    300,313.13/404,502.19 = 404,502.19/x
  3. Step 3: Cross multiply
    300,313.13x = 404,502.19 × 404,502.19
  4. Step 4: Simplify right side
    300,313.13x = 163,622,019,692.29
  5. Step 5: Solve for x
    x = 163,622,019,692.29/300,313.13
  6. Step 6: Final answer
    x = 544,838.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.