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Finding the Third Proportional to 283,326 and 610,368

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Solution

The third proportional to 283,326 and 610,368 is: 1,314,913.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,326 : 610,368 = 610,368 : x
  2. Step 2: Convert to fraction form
    283,326/610,368 = 610,368/x
  3. Step 3: Cross multiply
    283,326x = 610,368 × 610,368
  4. Step 4: Simplify right side
    283,326x = 372,549,095,424
  5. Step 5: Solve for x
    x = 372,549,095,424/283,326
  6. Step 6: Final answer
    x = 1,314,913.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.