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Finding the Third Proportional to 336,366 and 505,966.50

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Solution

The third proportional to 336,366 and 505,966.50 is: 761,081.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,366 : 505,966.50 = 505,966.50 : x
  2. Step 2: Convert to fraction form
    336,366/505,966.50 = 505,966.50/x
  3. Step 3: Cross multiply
    336,366x = 505,966.50 × 505,966.50
  4. Step 4: Simplify right side
    336,366x = 256,002,099,122.25
  5. Step 5: Solve for x
    x = 256,002,099,122.25/336,366
  6. Step 6: Final answer
    x = 761,081.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.