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Finding the Third Proportional to 277,744 and 594,854

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Solution

The third proportional to 277,744 and 594,854 is: 1,274,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,744 : 594,854 = 594,854 : x
  2. Step 2: Convert to fraction form
    277,744/594,854 = 594,854/x
  3. Step 3: Cross multiply
    277,744x = 594,854 × 594,854
  4. Step 4: Simplify right side
    277,744x = 353,851,281,316
  5. Step 5: Solve for x
    x = 353,851,281,316/277,744
  6. Step 6: Final answer
    x = 1,274,019.53

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Why These Related Problems?

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