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Finding the Third Proportional to 356,850.75 and 784,674

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Solution

The third proportional to 356,850.75 and 784,674 is: 1,725,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,850.75 : 784,674 = 784,674 : x
  2. Step 2: Convert to fraction form
    356,850.75/784,674 = 784,674/x
  3. Step 3: Cross multiply
    356,850.75x = 784,674 × 784,674
  4. Step 4: Simplify right side
    356,850.75x = 615,713,286,276
  5. Step 5: Solve for x
    x = 615,713,286,276/356,850.75
  6. Step 6: Final answer
    x = 1,725,408.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.