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Finding the Third Proportional to 262,334 and 575,104

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Solution

The third proportional to 262,334 and 575,104 is: 1,260,776.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,334 : 575,104 = 575,104 : x
  2. Step 2: Convert to fraction form
    262,334/575,104 = 575,104/x
  3. Step 3: Cross multiply
    262,334x = 575,104 × 575,104
  4. Step 4: Simplify right side
    262,334x = 330,744,610,816
  5. Step 5: Solve for x
    x = 330,744,610,816/262,334
  6. Step 6: Final answer
    x = 1,260,776.76

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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.