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Finding the Third Proportional to 282,696.19 and 609,679.69

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Solution

The third proportional to 282,696.19 and 609,679.69 is: 1,314,872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,696.19 : 609,679.69 = 609,679.69 : x
  2. Step 2: Convert to fraction form
    282,696.19/609,679.69 = 609,679.69/x
  3. Step 3: Cross multiply
    282,696.19x = 609,679.69 × 609,679.69
  4. Step 4: Simplify right side
    282,696.19x = 371,709,321,350.10
  5. Step 5: Solve for x
    x = 371,709,321,350.10/282,696.19
  6. Step 6: Final answer
    x = 1,314,872.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.