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Finding the Third Proportional to 260,502 and 567,660

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Solution

The third proportional to 260,502 and 567,660 is: 1,236,988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,502 : 567,660 = 567,660 : x
  2. Step 2: Convert to fraction form
    260,502/567,660 = 567,660/x
  3. Step 3: Cross multiply
    260,502x = 567,660 × 567,660
  4. Step 4: Simplify right side
    260,502x = 322,237,875,600
  5. Step 5: Solve for x
    x = 322,237,875,600/260,502
  6. Step 6: Final answer
    x = 1,236,988.11

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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.