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Finding the Third Proportional to 282,756 and 609,796

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Solution

The third proportional to 282,756 and 609,796 is: 1,315,095.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,756 : 609,796 = 609,796 : x
  2. Step 2: Convert to fraction form
    282,756/609,796 = 609,796/x
  3. Step 3: Cross multiply
    282,756x = 609,796 × 609,796
  4. Step 4: Simplify right side
    282,756x = 371,851,161,616
  5. Step 5: Solve for x
    x = 371,851,161,616/282,756
  6. Step 6: Final answer
    x = 1,315,095.57

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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.