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Finding the Third Proportional to 277,026 and 598,344

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Solution

The third proportional to 277,026 and 598,344 is: 1,292,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,026 : 598,344 = 598,344 : x
  2. Step 2: Convert to fraction form
    277,026/598,344 = 598,344/x
  3. Step 3: Cross multiply
    277,026x = 598,344 × 598,344
  4. Step 4: Simplify right side
    277,026x = 358,015,542,336
  5. Step 5: Solve for x
    x = 358,015,542,336/277,026
  6. Step 6: Final answer
    x = 1,292,353.58

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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.