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Finding the Third Proportional to 288,962 and 383,420

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Solution

The third proportional to 288,962 and 383,420 is: 508,755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,962 : 383,420 = 383,420 : x
  2. Step 2: Convert to fraction form
    288,962/383,420 = 383,420/x
  3. Step 3: Cross multiply
    288,962x = 383,420 × 383,420
  4. Step 4: Simplify right side
    288,962x = 147,010,896,400
  5. Step 5: Solve for x
    x = 147,010,896,400/288,962
  6. Step 6: Final answer
    x = 508,755.12

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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.