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Finding the Third Proportional to 364,573 and 567,503

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Solution

The third proportional to 364,573 and 567,503 is: 883,388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,573 : 567,503 = 567,503 : x
  2. Step 2: Convert to fraction form
    364,573/567,503 = 567,503/x
  3. Step 3: Cross multiply
    364,573x = 567,503 × 567,503
  4. Step 4: Simplify right side
    364,573x = 322,059,655,009
  5. Step 5: Solve for x
    x = 322,059,655,009/364,573
  6. Step 6: Final answer
    x = 883,388.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.