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Finding the Third Proportional to 262,322 and 577,984

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Solution

The third proportional to 262,322 and 577,984 is: 1,273,494.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,322 : 577,984 = 577,984 : x
  2. Step 2: Convert to fraction form
    262,322/577,984 = 577,984/x
  3. Step 3: Cross multiply
    262,322x = 577,984 × 577,984
  4. Step 4: Simplify right side
    262,322x = 334,065,504,256
  5. Step 5: Solve for x
    x = 334,065,504,256/262,322
  6. Step 6: Final answer
    x = 1,273,494.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.