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Finding the Third Proportional to 262,796 and 575,980

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Solution

The third proportional to 262,796 and 575,980 is: 1,262,397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,796 : 575,980 = 575,980 : x
  2. Step 2: Convert to fraction form
    262,796/575,980 = 575,980/x
  3. Step 3: Cross multiply
    262,796x = 575,980 × 575,980
  4. Step 4: Simplify right side
    262,796x = 331,752,960,400
  5. Step 5: Solve for x
    x = 331,752,960,400/262,796
  6. Step 6: Final answer
    x = 1,262,397.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.