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Finding the Third Proportional to 265,595 and 575,443

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Solution

The third proportional to 265,595 and 575,443 is: 1,246,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,595 : 575,443 = 575,443 : x
  2. Step 2: Convert to fraction form
    265,595/575,443 = 575,443/x
  3. Step 3: Cross multiply
    265,595x = 575,443 × 575,443
  4. Step 4: Simplify right side
    265,595x = 331,134,646,249
  5. Step 5: Solve for x
    x = 331,134,646,249/265,595
  6. Step 6: Final answer
    x = 1,246,765.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.