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Finding the Third Proportional to 281,866.50 and 436,536

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Solution

The third proportional to 281,866.50 and 436,536 is: 676,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,866.50 : 436,536 = 436,536 : x
  2. Step 2: Convert to fraction form
    281,866.50/436,536 = 436,536/x
  3. Step 3: Cross multiply
    281,866.50x = 436,536 × 436,536
  4. Step 4: Simplify right side
    281,866.50x = 190,563,679,296
  5. Step 5: Solve for x
    x = 190,563,679,296/281,866.50
  6. Step 6: Final answer
    x = 676,077.79

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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.