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Finding the Third Proportional to 262,921 and 575,596

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Solution

The third proportional to 262,921 and 575,596 is: 1,260,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,921 : 575,596 = 575,596 : x
  2. Step 2: Convert to fraction form
    262,921/575,596 = 575,596/x
  3. Step 3: Cross multiply
    262,921x = 575,596 × 575,596
  4. Step 4: Simplify right side
    262,921x = 331,310,755,216
  5. Step 5: Solve for x
    x = 331,310,755,216/262,921
  6. Step 6: Final answer
    x = 1,260,115.23

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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.