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Finding the Third Proportional to 277,218 and 598,689

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Solution

The third proportional to 277,218 and 598,689 is: 1,292,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,218 : 598,689 = 598,689 : x
  2. Step 2: Convert to fraction form
    277,218/598,689 = 598,689/x
  3. Step 3: Cross multiply
    277,218x = 598,689 × 598,689
  4. Step 4: Simplify right side
    277,218x = 358,428,518,721
  5. Step 5: Solve for x
    x = 358,428,518,721/277,218
  6. Step 6: Final answer
    x = 1,292,948.22

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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.