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Finding the Third Proportional to 262,008 and 565,851

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Solution

The third proportional to 262,008 and 565,851 is: 1,222,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,008 : 565,851 = 565,851 : x
  2. Step 2: Convert to fraction form
    262,008/565,851 = 565,851/x
  3. Step 3: Cross multiply
    262,008x = 565,851 × 565,851
  4. Step 4: Simplify right side
    262,008x = 320,187,354,201
  5. Step 5: Solve for x
    x = 320,187,354,201/262,008
  6. Step 6: Final answer
    x = 1,222,051.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.