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Finding the Third Proportional to 336,772.69 and 689,277.09

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Solution

The third proportional to 336,772.69 and 689,277.09 is: 1,410,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,772.69 : 689,277.09 = 689,277.09 : x
  2. Step 2: Convert to fraction form
    336,772.69/689,277.09 = 689,277.09/x
  3. Step 3: Cross multiply
    336,772.69x = 689,277.09 × 689,277.09
  4. Step 4: Simplify right side
    336,772.69x = 475,102,911,968.45
  5. Step 5: Solve for x
    x = 475,102,911,968.45/336,772.69
  6. Step 6: Final answer
    x = 1,410,752.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.