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Finding the Third Proportional to 282,264 and 608,844

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Solution

The third proportional to 282,264 and 608,844 is: 1,313,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,264 : 608,844 = 608,844 : x
  2. Step 2: Convert to fraction form
    282,264/608,844 = 608,844/x
  3. Step 3: Cross multiply
    282,264x = 608,844 × 608,844
  4. Step 4: Simplify right side
    282,264x = 370,691,016,336
  5. Step 5: Solve for x
    x = 370,691,016,336/282,264
  6. Step 6: Final answer
    x = 1,313,277.70

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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.