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Finding the Third Proportional to 337,070 and 741,928

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Solution

The third proportional to 337,070 and 741,928 is: 1,633,064.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,070 : 741,928 = 741,928 : x
  2. Step 2: Convert to fraction form
    337,070/741,928 = 741,928/x
  3. Step 3: Cross multiply
    337,070x = 741,928 × 741,928
  4. Step 4: Simplify right side
    337,070x = 550,457,157,184
  5. Step 5: Solve for x
    x = 550,457,157,184/337,070
  6. Step 6: Final answer
    x = 1,633,064.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.