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Finding the Third Proportional to 288,092 and 382,288

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Solution

The third proportional to 288,092 and 382,288 is: 507,282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,092 : 382,288 = 382,288 : x
  2. Step 2: Convert to fraction form
    288,092/382,288 = 382,288/x
  3. Step 3: Cross multiply
    288,092x = 382,288 × 382,288
  4. Step 4: Simplify right side
    288,092x = 146,144,114,944
  5. Step 5: Solve for x
    x = 146,144,114,944/288,092
  6. Step 6: Final answer
    x = 507,282.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.