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Finding the Third Proportional to 260,045 and 567,944

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Solution

The third proportional to 260,045 and 567,944 is: 1,240,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,045 : 567,944 = 567,944 : x
  2. Step 2: Convert to fraction form
    260,045/567,944 = 567,944/x
  3. Step 3: Cross multiply
    260,045x = 567,944 × 567,944
  4. Step 4: Simplify right side
    260,045x = 322,560,387,136
  5. Step 5: Solve for x
    x = 322,560,387,136/260,045
  6. Step 6: Final answer
    x = 1,240,402.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.