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Finding the Third Proportional to 282,249 and 608,814

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Solution

The third proportional to 282,249 and 608,814 is: 1,313,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,249 : 608,814 = 608,814 : x
  2. Step 2: Convert to fraction form
    282,249/608,814 = 608,814/x
  3. Step 3: Cross multiply
    282,249x = 608,814 × 608,814
  4. Step 4: Simplify right side
    282,249x = 370,654,486,596
  5. Step 5: Solve for x
    x = 370,654,486,596/282,249
  6. Step 6: Final answer
    x = 1,313,218.07

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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.