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Finding the Third Proportional to 277,778 and 597,748

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Solution

The third proportional to 277,778 and 597,748 is: 1,286,288.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,778 : 597,748 = 597,748 : x
  2. Step 2: Convert to fraction form
    277,778/597,748 = 597,748/x
  3. Step 3: Cross multiply
    277,778x = 597,748 × 597,748
  4. Step 4: Simplify right side
    277,778x = 357,302,671,504
  5. Step 5: Solve for x
    x = 357,302,671,504/277,778
  6. Step 6: Final answer
    x = 1,286,288.59

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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.