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Finding the Third Proportional to 315,233 and 471,735

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Solution

The third proportional to 315,233 and 471,735 is: 705,934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,233 : 471,735 = 471,735 : x
  2. Step 2: Convert to fraction form
    315,233/471,735 = 471,735/x
  3. Step 3: Cross multiply
    315,233x = 471,735 × 471,735
  4. Step 4: Simplify right side
    315,233x = 222,533,910,225
  5. Step 5: Solve for x
    x = 222,533,910,225/315,233
  6. Step 6: Final answer
    x = 705,934.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.