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Finding the Third Proportional to 260,926 and 566,464

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Solution

The third proportional to 260,926 and 566,464 is: 1,229,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,926 : 566,464 = 566,464 : x
  2. Step 2: Convert to fraction form
    260,926/566,464 = 566,464/x
  3. Step 3: Cross multiply
    260,926x = 566,464 × 566,464
  4. Step 4: Simplify right side
    260,926x = 320,881,463,296
  5. Step 5: Solve for x
    x = 320,881,463,296/260,926
  6. Step 6: Final answer
    x = 1,229,779.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.