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Finding the Third Proportional to 291,822 and 417,302

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Solution

The third proportional to 291,822 and 417,302 is: 596,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,822 : 417,302 = 417,302 : x
  2. Step 2: Convert to fraction form
    291,822/417,302 = 417,302/x
  3. Step 3: Cross multiply
    291,822x = 417,302 × 417,302
  4. Step 4: Simplify right side
    291,822x = 174,140,959,204
  5. Step 5: Solve for x
    x = 174,140,959,204/291,822
  6. Step 6: Final answer
    x = 596,736.91

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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.