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Finding the Third Proportional to 265,977 and 569,322

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Solution

The third proportional to 265,977 and 569,322 is: 1,218,629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,977 : 569,322 = 569,322 : x
  2. Step 2: Convert to fraction form
    265,977/569,322 = 569,322/x
  3. Step 3: Cross multiply
    265,977x = 569,322 × 569,322
  4. Step 4: Simplify right side
    265,977x = 324,127,539,684
  5. Step 5: Solve for x
    x = 324,127,539,684/265,977
  6. Step 6: Final answer
    x = 1,218,629.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.