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Finding the Third Proportional to 262,524 and 562,224

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Solution

The third proportional to 262,524 and 562,224 is: 1,204,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,524 : 562,224 = 562,224 : x
  2. Step 2: Convert to fraction form
    262,524/562,224 = 562,224/x
  3. Step 3: Cross multiply
    262,524x = 562,224 × 562,224
  4. Step 4: Simplify right side
    262,524x = 316,095,826,176
  5. Step 5: Solve for x
    x = 316,095,826,176/262,524
  6. Step 6: Final answer
    x = 1,204,064.49

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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.