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Finding the Third Proportional to 291,442 and 437,433

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Solution

The third proportional to 291,442 and 437,433 is: 656,554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,442 : 437,433 = 437,433 : x
  2. Step 2: Convert to fraction form
    291,442/437,433 = 437,433/x
  3. Step 3: Cross multiply
    291,442x = 437,433 × 437,433
  4. Step 4: Simplify right side
    291,442x = 191,347,629,489
  5. Step 5: Solve for x
    x = 191,347,629,489/291,442
  6. Step 6: Final answer
    x = 656,554.75

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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.