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Finding the Third Proportional to 262,917 and 575,580

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Solution

The third proportional to 262,917 and 575,580 is: 1,260,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,917 : 575,580 = 575,580 : x
  2. Step 2: Convert to fraction form
    262,917/575,580 = 575,580/x
  3. Step 3: Cross multiply
    262,917x = 575,580 × 575,580
  4. Step 4: Simplify right side
    262,917x = 331,292,336,400
  5. Step 5: Solve for x
    x = 331,292,336,400/262,917
  6. Step 6: Final answer
    x = 1,260,064.34

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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.