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Finding the Third Proportional to 282,774 and 609,828

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Solution

The third proportional to 282,774 and 609,828 is: 1,315,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,774 : 609,828 = 609,828 : x
  2. Step 2: Convert to fraction form
    282,774/609,828 = 609,828/x
  3. Step 3: Cross multiply
    282,774x = 609,828 × 609,828
  4. Step 4: Simplify right side
    282,774x = 371,890,189,584
  5. Step 5: Solve for x
    x = 371,890,189,584/282,774
  6. Step 6: Final answer
    x = 1,315,149.87

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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.