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Finding the Third Proportional to 291,467 and 437,471

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Solution

The third proportional to 291,467 and 437,471 is: 656,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,467 : 437,471 = 437,471 : x
  2. Step 2: Convert to fraction form
    291,467/437,471 = 437,471/x
  3. Step 3: Cross multiply
    291,467x = 437,471 × 437,471
  4. Step 4: Simplify right side
    291,467x = 191,380,875,841
  5. Step 5: Solve for x
    x = 191,380,875,841/291,467
  6. Step 6: Final answer
    x = 656,612.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.