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Finding the Third Proportional to 277,298 and 596,627

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Solution

The third proportional to 277,298 and 596,627 is: 1,283,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,298 : 596,627 = 596,627 : x
  2. Step 2: Convert to fraction form
    277,298/596,627 = 596,627/x
  3. Step 3: Cross multiply
    277,298x = 596,627 × 596,627
  4. Step 4: Simplify right side
    277,298x = 355,963,777,129
  5. Step 5: Solve for x
    x = 355,963,777,129/277,298
  6. Step 6: Final answer
    x = 1,283,686.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.