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Finding the Third Proportional to 412,932 and 603,459

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Solution

The third proportional to 412,932 and 603,459 is: 881,895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,932 : 603,459 = 603,459 : x
  2. Step 2: Convert to fraction form
    412,932/603,459 = 603,459/x
  3. Step 3: Cross multiply
    412,932x = 603,459 × 603,459
  4. Step 4: Simplify right side
    412,932x = 364,162,764,681
  5. Step 5: Solve for x
    x = 364,162,764,681/412,932
  6. Step 6: Final answer
    x = 881,895.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.