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Finding the Third Proportional to 282,768.75 and 609,810.75

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Solution

The third proportional to 282,768.75 and 609,810.75 is: 1,315,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,768.75 : 609,810.75 = 609,810.75 : x
  2. Step 2: Convert to fraction form
    282,768.75/609,810.75 = 609,810.75/x
  3. Step 3: Cross multiply
    282,768.75x = 609,810.75 × 609,810.75
  4. Step 4: Simplify right side
    282,768.75x = 371,869,150,815.56
  5. Step 5: Solve for x
    x = 371,869,150,815.56/282,768.75
  6. Step 6: Final answer
    x = 1,315,099.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.