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Finding the Third Proportional to 260,076 and 567,780

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Solution

The third proportional to 260,076 and 567,780 is: 1,239,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,076 : 567,780 = 567,780 : x
  2. Step 2: Convert to fraction form
    260,076/567,780 = 567,780/x
  3. Step 3: Cross multiply
    260,076x = 567,780 × 567,780
  4. Step 4: Simplify right side
    260,076x = 322,374,128,400
  5. Step 5: Solve for x
    x = 322,374,128,400/260,076
  6. Step 6: Final answer
    x = 1,239,538.17

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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.