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Finding the Third Proportional to 282,789 and 609,846

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Solution

The third proportional to 282,789 and 609,846 is: 1,315,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,789 : 609,846 = 609,846 : x
  2. Step 2: Convert to fraction form
    282,789/609,846 = 609,846/x
  3. Step 3: Cross multiply
    282,789x = 609,846 × 609,846
  4. Step 4: Simplify right side
    282,789x = 371,912,143,716
  5. Step 5: Solve for x
    x = 371,912,143,716/282,789
  6. Step 6: Final answer
    x = 1,315,157.75

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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.