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Finding the Third Proportional to 277,792 and 598,838

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Solution

The third proportional to 277,792 and 598,838 is: 1,290,918.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,792 : 598,838 = 598,838 : x
  2. Step 2: Convert to fraction form
    277,792/598,838 = 598,838/x
  3. Step 3: Cross multiply
    277,792x = 598,838 × 598,838
  4. Step 4: Simplify right side
    277,792x = 358,606,950,244
  5. Step 5: Solve for x
    x = 358,606,950,244/277,792
  6. Step 6: Final answer
    x = 1,290,918.93

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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.