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Finding the Third Proportional to 282,046.50 and 436,932

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Solution

The third proportional to 282,046.50 and 436,932 is: 676,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,046.50 : 436,932 = 436,932 : x
  2. Step 2: Convert to fraction form
    282,046.50/436,932 = 436,932/x
  3. Step 3: Cross multiply
    282,046.50x = 436,932 × 436,932
  4. Step 4: Simplify right side
    282,046.50x = 190,909,572,624
  5. Step 5: Solve for x
    x = 190,909,572,624/282,046.50
  6. Step 6: Final answer
    x = 676,872.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.