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Finding the Third Proportional to 291,788 and 417,252

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Solution

The third proportional to 291,788 and 417,252 is: 596,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,788 : 417,252 = 417,252 : x
  2. Step 2: Convert to fraction form
    291,788/417,252 = 417,252/x
  3. Step 3: Cross multiply
    291,788x = 417,252 × 417,252
  4. Step 4: Simplify right side
    291,788x = 174,099,231,504
  5. Step 5: Solve for x
    x = 174,099,231,504/291,788
  6. Step 6: Final answer
    x = 596,663.44

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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.