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Finding the Third Proportional to 282,696.75 and 615,255.75

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Solution

The third proportional to 282,696.75 and 615,255.75 is: 1,339,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,696.75 : 615,255.75 = 615,255.75 : x
  2. Step 2: Convert to fraction form
    282,696.75/615,255.75 = 615,255.75/x
  3. Step 3: Cross multiply
    282,696.75x = 615,255.75 × 615,255.75
  4. Step 4: Simplify right side
    282,696.75x = 378,539,637,908.06
  5. Step 5: Solve for x
    x = 378,539,637,908.06/282,696.75
  6. Step 6: Final answer
    x = 1,339,030.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.