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Finding the Third Proportional to 262,480 and 562,134

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Solution

The third proportional to 262,480 and 562,134 is: 1,203,880.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,480 : 562,134 = 562,134 : x
  2. Step 2: Convert to fraction form
    262,480/562,134 = 562,134/x
  3. Step 3: Cross multiply
    262,480x = 562,134 × 562,134
  4. Step 4: Simplify right side
    262,480x = 315,994,633,956
  5. Step 5: Solve for x
    x = 315,994,633,956/262,480
  6. Step 6: Final answer
    x = 1,203,880.81

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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.