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Finding the Third Proportional to 474,275.25 and 728,908.88

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Solution

The third proportional to 474,275.25 and 728,908.88 is: 1,120,252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,275.25 : 728,908.88 = 728,908.88 : x
  2. Step 2: Convert to fraction form
    474,275.25/728,908.88 = 728,908.88/x
  3. Step 3: Cross multiply
    474,275.25x = 728,908.88 × 728,908.88
  4. Step 4: Simplify right side
    474,275.25x = 531,308,148,053.77
  5. Step 5: Solve for x
    x = 531,308,148,053.77/474,275.25
  6. Step 6: Final answer
    x = 1,120,252.74

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.