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Finding the Third Proportional to 291,689 and 437,538

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Solution

The third proportional to 291,689 and 437,538 is: 656,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,689 : 437,538 = 437,538 : x
  2. Step 2: Convert to fraction form
    291,689/437,538 = 437,538/x
  3. Step 3: Cross multiply
    291,689x = 437,538 × 437,538
  4. Step 4: Simplify right side
    291,689x = 191,439,501,444
  5. Step 5: Solve for x
    x = 191,439,501,444/291,689
  6. Step 6: Final answer
    x = 656,313.75

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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.