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Finding the Third Proportional to 291,471 and 437,477

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Solution

The third proportional to 291,471 and 437,477 is: 656,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,471 : 437,477 = 437,477 : x
  2. Step 2: Convert to fraction form
    291,471/437,477 = 437,477/x
  3. Step 3: Cross multiply
    291,471x = 437,477 × 437,477
  4. Step 4: Simplify right side
    291,471x = 191,386,125,529
  5. Step 5: Solve for x
    x = 191,386,125,529/291,471
  6. Step 6: Final answer
    x = 656,621.50

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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.