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Finding the Third Proportional to 277,742 and 594,849.38

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Solution

The third proportional to 277,742 and 594,849.38 is: 1,274,008.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,742 : 594,849.38 = 594,849.38 : x
  2. Step 2: Convert to fraction form
    277,742/594,849.38 = 594,849.38/x
  3. Step 3: Cross multiply
    277,742x = 594,849.38 × 594,849.38
  4. Step 4: Simplify right side
    277,742x = 353,845,778,937.89
  5. Step 5: Solve for x
    x = 353,845,778,937.89/277,742
  6. Step 6: Final answer
    x = 1,274,008.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.