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Finding the Third Proportional to 281,963.53 and 436,302.70

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Solution

The third proportional to 281,963.53 and 436,302.70 is: 675,122.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,963.53 : 436,302.70 = 436,302.70 : x
  2. Step 2: Convert to fraction form
    281,963.53/436,302.70 = 436,302.70/x
  3. Step 3: Cross multiply
    281,963.53x = 436,302.70 × 436,302.70
  4. Step 4: Simplify right side
    281,963.53x = 190,360,048,754.18
  5. Step 5: Solve for x
    x = 190,360,048,754.18/281,963.53
  6. Step 6: Final answer
    x = 675,122.94

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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.