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Finding the Third Proportional to 277,668 and 608,328

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Solution

The third proportional to 277,668 and 608,328 is: 1,332,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,668 : 608,328 = 608,328 : x
  2. Step 2: Convert to fraction form
    277,668/608,328 = 608,328/x
  3. Step 3: Cross multiply
    277,668x = 608,328 × 608,328
  4. Step 4: Simplify right side
    277,668x = 370,062,955,584
  5. Step 5: Solve for x
    x = 370,062,955,584/277,668
  6. Step 6: Final answer
    x = 1,332,753.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.