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Finding the Third Proportional to 375,917.63 and 543,133.69

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Solution

The third proportional to 375,917.63 and 543,133.69 is: 784,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,917.63 : 543,133.69 = 543,133.69 : x
  2. Step 2: Convert to fraction form
    375,917.63/543,133.69 = 543,133.69/x
  3. Step 3: Cross multiply
    375,917.63x = 543,133.69 × 543,133.69
  4. Step 4: Simplify right side
    375,917.63x = 294,994,202,497.35
  5. Step 5: Solve for x
    x = 294,994,202,497.35/375,917.63
  6. Step 6: Final answer
    x = 784,730.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.