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Finding the Third Proportional to 553,157.25 and 854,301.75

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Solution

The third proportional to 553,157.25 and 854,301.75 is: 1,319,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,157.25 : 854,301.75 = 854,301.75 : x
  2. Step 2: Convert to fraction form
    553,157.25/854,301.75 = 854,301.75/x
  3. Step 3: Cross multiply
    553,157.25x = 854,301.75 × 854,301.75
  4. Step 4: Simplify right side
    553,157.25x = 729,831,480,053.06
  5. Step 5: Solve for x
    x = 729,831,480,053.06/553,157.25
  6. Step 6: Final answer
    x = 1,319,392.42

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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.