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Finding the Third Proportional to 282,802 and 609,883

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Solution

The third proportional to 282,802 and 609,883 is: 1,315,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,802 : 609,883 = 609,883 : x
  2. Step 2: Convert to fraction form
    282,802/609,883 = 609,883/x
  3. Step 3: Cross multiply
    282,802x = 609,883 × 609,883
  4. Step 4: Simplify right side
    282,802x = 371,957,273,689
  5. Step 5: Solve for x
    x = 371,957,273,689/282,802
  6. Step 6: Final answer
    x = 1,315,256.87

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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.