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Finding the Third Proportional to 277,214 and 597,062

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Solution

The third proportional to 277,214 and 597,062 is: 1,285,948.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,214 : 597,062 = 597,062 : x
  2. Step 2: Convert to fraction form
    277,214/597,062 = 597,062/x
  3. Step 3: Cross multiply
    277,214x = 597,062 × 597,062
  4. Step 4: Simplify right side
    277,214x = 356,483,031,844
  5. Step 5: Solve for x
    x = 356,483,031,844/277,214
  6. Step 6: Final answer
    x = 1,285,948.88

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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.