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Finding the Third Proportional to 363,319 and 567,051

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Solution

The third proportional to 363,319 and 567,051 is: 885,026.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,319 : 567,051 = 567,051 : x
  2. Step 2: Convert to fraction form
    363,319/567,051 = 567,051/x
  3. Step 3: Cross multiply
    363,319x = 567,051 × 567,051
  4. Step 4: Simplify right side
    363,319x = 321,546,836,601
  5. Step 5: Solve for x
    x = 321,546,836,601/363,319
  6. Step 6: Final answer
    x = 885,026.21

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