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Finding the Third Proportional to 302,474 and 411,037

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Solution

The third proportional to 302,474 and 411,037 is: 558,565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,474 : 411,037 = 411,037 : x
  2. Step 2: Convert to fraction form
    302,474/411,037 = 411,037/x
  3. Step 3: Cross multiply
    302,474x = 411,037 × 411,037
  4. Step 4: Simplify right side
    302,474x = 168,951,415,369
  5. Step 5: Solve for x
    x = 168,951,415,369/302,474
  6. Step 6: Final answer
    x = 558,565.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.