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Finding the Third Proportional to 263,481 and 566,924

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Solution

The third proportional to 263,481 and 566,924 is: 1,219,833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,481 : 566,924 = 566,924 : x
  2. Step 2: Convert to fraction form
    263,481/566,924 = 566,924/x
  3. Step 3: Cross multiply
    263,481x = 566,924 × 566,924
  4. Step 4: Simplify right side
    263,481x = 321,402,821,776
  5. Step 5: Solve for x
    x = 321,402,821,776/263,481
  6. Step 6: Final answer
    x = 1,219,833.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.