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Finding the Third Proportional to 336,648 and 736,647

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Solution

The third proportional to 336,648 and 736,647 is: 1,611,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,648 : 736,647 = 736,647 : x
  2. Step 2: Convert to fraction form
    336,648/736,647 = 736,647/x
  3. Step 3: Cross multiply
    336,648x = 736,647 × 736,647
  4. Step 4: Simplify right side
    336,648x = 542,648,802,609
  5. Step 5: Solve for x
    x = 542,648,802,609/336,648
  6. Step 6: Final answer
    x = 1,611,917.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.