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Finding the Third Proportional to 317,078 and 434,793

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Solution

The third proportional to 317,078 and 434,793 is: 596,209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,078 : 434,793 = 434,793 : x
  2. Step 2: Convert to fraction form
    317,078/434,793 = 434,793/x
  3. Step 3: Cross multiply
    317,078x = 434,793 × 434,793
  4. Step 4: Simplify right side
    317,078x = 189,044,952,849
  5. Step 5: Solve for x
    x = 189,044,952,849/317,078
  6. Step 6: Final answer
    x = 596,209.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.