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Finding the Third Proportional to 262,920 and 575,595

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Solution

The third proportional to 262,920 and 575,595 is: 1,260,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,920 : 575,595 = 575,595 : x
  2. Step 2: Convert to fraction form
    262,920/575,595 = 575,595/x
  3. Step 3: Cross multiply
    262,920x = 575,595 × 575,595
  4. Step 4: Simplify right side
    262,920x = 331,309,604,025
  5. Step 5: Solve for x
    x = 331,309,604,025/262,920
  6. Step 6: Final answer
    x = 1,260,115.64

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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.