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Finding the Third Proportional to 274,560 and 562,503

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Solution

The third proportional to 274,560 and 562,503 is: 1,152,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,560 : 562,503 = 562,503 : x
  2. Step 2: Convert to fraction form
    274,560/562,503 = 562,503/x
  3. Step 3: Cross multiply
    274,560x = 562,503 × 562,503
  4. Step 4: Simplify right side
    274,560x = 316,409,625,009
  5. Step 5: Solve for x
    x = 316,409,625,009/274,560
  6. Step 6: Final answer
    x = 1,152,424.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.