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Finding the Third Proportional to 262,692 and 561,888

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Solution

The third proportional to 262,692 and 561,888 is: 1,201,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,692 : 561,888 = 561,888 : x
  2. Step 2: Convert to fraction form
    262,692/561,888 = 561,888/x
  3. Step 3: Cross multiply
    262,692x = 561,888 × 561,888
  4. Step 4: Simplify right side
    262,692x = 315,718,124,544
  5. Step 5: Solve for x
    x = 315,718,124,544/262,692
  6. Step 6: Final answer
    x = 1,201,856.64

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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.