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Finding the Third Proportional to 336,073 and 738,403

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Solution

The third proportional to 336,073 and 738,403 is: 1,622,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,073 : 738,403 = 738,403 : x
  2. Step 2: Convert to fraction form
    336,073/738,403 = 738,403/x
  3. Step 3: Cross multiply
    336,073x = 738,403 × 738,403
  4. Step 4: Simplify right side
    336,073x = 545,238,990,409
  5. Step 5: Solve for x
    x = 545,238,990,409/336,073
  6. Step 6: Final answer
    x = 1,622,382.61

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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.