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Finding the Third Proportional to 360,254.25 and 776,175.75

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Solution

The third proportional to 360,254.25 and 776,175.75 is: 1,672,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,254.25 : 776,175.75 = 776,175.75 : x
  2. Step 2: Convert to fraction form
    360,254.25/776,175.75 = 776,175.75/x
  3. Step 3: Cross multiply
    360,254.25x = 776,175.75 × 776,175.75
  4. Step 4: Simplify right side
    360,254.25x = 602,448,794,888.06
  5. Step 5: Solve for x
    x = 602,448,794,888.06/360,254.25
  6. Step 6: Final answer
    x = 1,672,287.82

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