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Finding the Third Proportional to 277,071 and 598,349

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Solution

The third proportional to 277,071 and 598,349 is: 1,292,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,071 : 598,349 = 598,349 : x
  2. Step 2: Convert to fraction form
    277,071/598,349 = 598,349/x
  3. Step 3: Cross multiply
    277,071x = 598,349 × 598,349
  4. Step 4: Simplify right side
    277,071x = 358,021,525,801
  5. Step 5: Solve for x
    x = 358,021,525,801/277,071
  6. Step 6: Final answer
    x = 1,292,165.28

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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.