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Finding the Third Proportional to 295,932 and 451,269

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Solution

The third proportional to 295,932 and 451,269 is: 688,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,932 : 451,269 = 451,269 : x
  2. Step 2: Convert to fraction form
    295,932/451,269 = 451,269/x
  3. Step 3: Cross multiply
    295,932x = 451,269 × 451,269
  4. Step 4: Simplify right side
    295,932x = 203,643,710,361
  5. Step 5: Solve for x
    x = 203,643,710,361/295,932
  6. Step 6: Final answer
    x = 688,143.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.