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Finding the Third Proportional to 282,776 and 609,825

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Solution

The third proportional to 282,776 and 609,825 is: 1,315,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,776 : 609,825 = 609,825 : x
  2. Step 2: Convert to fraction form
    282,776/609,825 = 609,825/x
  3. Step 3: Cross multiply
    282,776x = 609,825 × 609,825
  4. Step 4: Simplify right side
    282,776x = 371,886,530,625
  5. Step 5: Solve for x
    x = 371,886,530,625/282,776
  6. Step 6: Final answer
    x = 1,315,127.63

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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.