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Finding the Third Proportional to 282,833 and 609,923

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Solution

The third proportional to 282,833 and 609,923 is: 1,315,285.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,833 : 609,923 = 609,923 : x
  2. Step 2: Convert to fraction form
    282,833/609,923 = 609,923/x
  3. Step 3: Cross multiply
    282,833x = 609,923 × 609,923
  4. Step 4: Simplify right side
    282,833x = 372,006,065,929
  5. Step 5: Solve for x
    x = 372,006,065,929/282,833
  6. Step 6: Final answer
    x = 1,315,285.22

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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.