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Finding the Third Proportional to 260,145 and 567,441

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Solution

The third proportional to 260,145 and 567,441 is: 1,237,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,145 : 567,441 = 567,441 : x
  2. Step 2: Convert to fraction form
    260,145/567,441 = 567,441/x
  3. Step 3: Cross multiply
    260,145x = 567,441 × 567,441
  4. Step 4: Simplify right side
    260,145x = 321,989,288,481
  5. Step 5: Solve for x
    x = 321,989,288,481/260,145
  6. Step 6: Final answer
    x = 1,237,730.07

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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.