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Finding the Third Proportional to 406,414 and 603,732

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Solution

The third proportional to 406,414 and 603,732 is: 896,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,414 : 603,732 = 603,732 : x
  2. Step 2: Convert to fraction form
    406,414/603,732 = 603,732/x
  3. Step 3: Cross multiply
    406,414x = 603,732 × 603,732
  4. Step 4: Simplify right side
    406,414x = 364,492,327,824
  5. Step 5: Solve for x
    x = 364,492,327,824/406,414
  6. Step 6: Final answer
    x = 896,849.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.