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Finding the Third Proportional to 282,784.50 and 609,849

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Solution

The third proportional to 282,784.50 and 609,849 is: 1,315,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,784.50 : 609,849 = 609,849 : x
  2. Step 2: Convert to fraction form
    282,784.50/609,849 = 609,849/x
  3. Step 3: Cross multiply
    282,784.50x = 609,849 × 609,849
  4. Step 4: Simplify right side
    282,784.50x = 371,915,802,801
  5. Step 5: Solve for x
    x = 371,915,802,801/282,784.50
  6. Step 6: Final answer
    x = 1,315,191.61

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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.