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Finding the Third Proportional to 319,644 and 485,296.88

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Solution

The third proportional to 319,644 and 485,296.88 is: 736,797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,644 : 485,296.88 = 485,296.88 : x
  2. Step 2: Convert to fraction form
    319,644/485,296.88 = 485,296.88/x
  3. Step 3: Cross multiply
    319,644x = 485,296.88 × 485,296.88
  4. Step 4: Simplify right side
    319,644x = 235,513,056,884.77
  5. Step 5: Solve for x
    x = 235,513,056,884.77/319,644
  6. Step 6: Final answer
    x = 736,797.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.