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Finding the Third Proportional to 282,825 and 609,927

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Solution

The third proportional to 282,825 and 609,927 is: 1,315,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,825 : 609,927 = 609,927 : x
  2. Step 2: Convert to fraction form
    282,825/609,927 = 609,927/x
  3. Step 3: Cross multiply
    282,825x = 609,927 × 609,927
  4. Step 4: Simplify right side
    282,825x = 372,010,945,329
  5. Step 5: Solve for x
    x = 372,010,945,329/282,825
  6. Step 6: Final answer
    x = 1,315,339.68

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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.