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Finding the Third Proportional to 262,550 and 575,932

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Solution

The third proportional to 262,550 and 575,932 is: 1,263,369.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,550 : 575,932 = 575,932 : x
  2. Step 2: Convert to fraction form
    262,550/575,932 = 575,932/x
  3. Step 3: Cross multiply
    262,550x = 575,932 × 575,932
  4. Step 4: Simplify right side
    262,550x = 331,697,668,624
  5. Step 5: Solve for x
    x = 331,697,668,624/262,550
  6. Step 6: Final answer
    x = 1,263,369.52

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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.