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Finding the Third Proportional to 277,062 and 596,496

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Solution

The third proportional to 277,062 and 596,496 is: 1,284,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,062 : 596,496 = 596,496 : x
  2. Step 2: Convert to fraction form
    277,062/596,496 = 596,496/x
  3. Step 3: Cross multiply
    277,062x = 596,496 × 596,496
  4. Step 4: Simplify right side
    277,062x = 355,807,478,016
  5. Step 5: Solve for x
    x = 355,807,478,016/277,062
  6. Step 6: Final answer
    x = 1,284,216.09

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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.