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Finding the Third Proportional to 277,272 and 440,748

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Solution

The third proportional to 277,272 and 440,748 is: 700,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,272 : 440,748 = 440,748 : x
  2. Step 2: Convert to fraction form
    277,272/440,748 = 440,748/x
  3. Step 3: Cross multiply
    277,272x = 440,748 × 440,748
  4. Step 4: Simplify right side
    277,272x = 194,258,799,504
  5. Step 5: Solve for x
    x = 194,258,799,504/277,272
  6. Step 6: Final answer
    x = 700,607.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.