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Finding the Third Proportional to 262,881 and 575,514

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Solution

The third proportional to 262,881 and 575,514 is: 1,259,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,881 : 575,514 = 575,514 : x
  2. Step 2: Convert to fraction form
    262,881/575,514 = 575,514/x
  3. Step 3: Cross multiply
    262,881x = 575,514 × 575,514
  4. Step 4: Simplify right side
    262,881x = 331,216,364,196
  5. Step 5: Solve for x
    x = 331,216,364,196/262,881
  6. Step 6: Final answer
    x = 1,259,947.90

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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.