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Finding the Third Proportional to 263,322 and 566,607

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Solution

The third proportional to 263,322 and 566,607 is: 1,219,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,322 : 566,607 = 566,607 : x
  2. Step 2: Convert to fraction form
    263,322/566,607 = 566,607/x
  3. Step 3: Cross multiply
    263,322x = 566,607 × 566,607
  4. Step 4: Simplify right side
    263,322x = 321,043,492,449
  5. Step 5: Solve for x
    x = 321,043,492,449/263,322
  6. Step 6: Final answer
    x = 1,219,204.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.