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Finding the Third Proportional to 277,566 and 439,089

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Solution

The third proportional to 277,566 and 439,089 is: 694,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,566 : 439,089 = 439,089 : x
  2. Step 2: Convert to fraction form
    277,566/439,089 = 439,089/x
  3. Step 3: Cross multiply
    277,566x = 439,089 × 439,089
  4. Step 4: Simplify right side
    277,566x = 192,799,149,921
  5. Step 5: Solve for x
    x = 192,799,149,921/277,566
  6. Step 6: Final answer
    x = 694,606.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.