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Finding the Third Proportional to 412,926 and 603,453

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Solution

The third proportional to 412,926 and 603,453 is: 881,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,926 : 603,453 = 603,453 : x
  2. Step 2: Convert to fraction form
    412,926/603,453 = 603,453/x
  3. Step 3: Cross multiply
    412,926x = 603,453 × 603,453
  4. Step 4: Simplify right side
    412,926x = 364,155,523,209
  5. Step 5: Solve for x
    x = 364,155,523,209/412,926
  6. Step 6: Final answer
    x = 881,890.52

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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.