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Finding the Third Proportional to 277,908 and 597,944

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Solution

The third proportional to 277,908 and 597,944 is: 1,286,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,908 : 597,944 = 597,944 : x
  2. Step 2: Convert to fraction form
    277,908/597,944 = 597,944/x
  3. Step 3: Cross multiply
    277,908x = 597,944 × 597,944
  4. Step 4: Simplify right side
    277,908x = 357,537,027,136
  5. Step 5: Solve for x
    x = 357,537,027,136/277,908
  6. Step 6: Final answer
    x = 1,286,530.17

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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.