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Finding the Third Proportional to 291,794 and 417,260

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Solution

The third proportional to 291,794 and 417,260 is: 596,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,794 : 417,260 = 417,260 : x
  2. Step 2: Convert to fraction form
    291,794/417,260 = 417,260/x
  3. Step 3: Cross multiply
    291,794x = 417,260 × 417,260
  4. Step 4: Simplify right side
    291,794x = 174,105,907,600
  5. Step 5: Solve for x
    x = 174,105,907,600/291,794
  6. Step 6: Final answer
    x = 596,674.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.