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Finding the Third Proportional to 412,927 and 603,452

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Solution

The third proportional to 412,927 and 603,452 is: 881,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,927 : 603,452 = 603,452 : x
  2. Step 2: Convert to fraction form
    412,927/603,452 = 603,452/x
  3. Step 3: Cross multiply
    412,927x = 603,452 × 603,452
  4. Step 4: Simplify right side
    412,927x = 364,154,316,304
  5. Step 5: Solve for x
    x = 364,154,316,304/412,927
  6. Step 6: Final answer
    x = 881,885.46

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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.