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Finding the Third Proportional to 315,306 and 476,233

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Solution

The third proportional to 315,306 and 476,233 is: 719,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,306 : 476,233 = 476,233 : x
  2. Step 2: Convert to fraction form
    315,306/476,233 = 476,233/x
  3. Step 3: Cross multiply
    315,306x = 476,233 × 476,233
  4. Step 4: Simplify right side
    315,306x = 226,797,870,289
  5. Step 5: Solve for x
    x = 226,797,870,289/315,306
  6. Step 6: Final answer
    x = 719,294.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.