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Finding the Third Proportional to 262,928 and 575,612

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Solution

The third proportional to 262,928 and 575,612 is: 1,260,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,928 : 575,612 = 575,612 : x
  2. Step 2: Convert to fraction form
    262,928/575,612 = 575,612/x
  3. Step 3: Cross multiply
    262,928x = 575,612 × 575,612
  4. Step 4: Simplify right side
    262,928x = 331,329,174,544
  5. Step 5: Solve for x
    x = 331,329,174,544/262,928
  6. Step 6: Final answer
    x = 1,260,151.73

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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.