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Finding the Third Proportional to 262,933 and 574,497

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Solution

The third proportional to 262,933 and 574,497 is: 1,255,250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,933 : 574,497 = 574,497 : x
  2. Step 2: Convert to fraction form
    262,933/574,497 = 574,497/x
  3. Step 3: Cross multiply
    262,933x = 574,497 × 574,497
  4. Step 4: Simplify right side
    262,933x = 330,046,803,009
  5. Step 5: Solve for x
    x = 330,046,803,009/262,933
  6. Step 6: Final answer
    x = 1,255,250.59

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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.