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Finding the Third Proportional to 336,422 and 734,764

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Solution

The third proportional to 336,422 and 734,764 is: 1,604,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,422 : 734,764 = 734,764 : x
  2. Step 2: Convert to fraction form
    336,422/734,764 = 734,764/x
  3. Step 3: Cross multiply
    336,422x = 734,764 × 734,764
  4. Step 4: Simplify right side
    336,422x = 539,878,135,696
  5. Step 5: Solve for x
    x = 539,878,135,696/336,422
  6. Step 6: Final answer
    x = 1,604,764.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.