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Finding the Third Proportional to 277,468 and 589,496

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Solution

The third proportional to 277,468 and 589,496 is: 1,252,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,468 : 589,496 = 589,496 : x
  2. Step 2: Convert to fraction form
    277,468/589,496 = 589,496/x
  3. Step 3: Cross multiply
    277,468x = 589,496 × 589,496
  4. Step 4: Simplify right side
    277,468x = 347,505,534,016
  5. Step 5: Solve for x
    x = 347,505,534,016/277,468
  6. Step 6: Final answer
    x = 1,252,416.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.