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Finding the Third Proportional to 262,760 and 562,852

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Solution

The third proportional to 262,760 and 562,852 is: 1,205,672.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,760 : 562,852 = 562,852 : x
  2. Step 2: Convert to fraction form
    262,760/562,852 = 562,852/x
  3. Step 3: Cross multiply
    262,760x = 562,852 × 562,852
  4. Step 4: Simplify right side
    262,760x = 316,802,373,904
  5. Step 5: Solve for x
    x = 316,802,373,904/262,760
  6. Step 6: Final answer
    x = 1,205,672.00

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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.