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Finding the Third Proportional to 282,907.69 and 613,711.69

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Solution

The third proportional to 282,907.69 and 613,711.69 is: 1,331,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,907.69 : 613,711.69 = 613,711.69 : x
  2. Step 2: Convert to fraction form
    282,907.69/613,711.69 = 613,711.69/x
  3. Step 3: Cross multiply
    282,907.69x = 613,711.69 × 613,711.69
  4. Step 4: Simplify right side
    282,907.69x = 376,642,035,374.10
  5. Step 5: Solve for x
    x = 376,642,035,374.10/282,907.69
  6. Step 6: Final answer
    x = 1,331,324.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.