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Finding the Third Proportional to 468,150 and 707,144.25

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Solution

The third proportional to 468,150 and 707,144.25 is: 1,068,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,150 : 707,144.25 = 707,144.25 : x
  2. Step 2: Convert to fraction form
    468,150/707,144.25 = 707,144.25/x
  3. Step 3: Cross multiply
    468,150x = 707,144.25 × 707,144.25
  4. Step 4: Simplify right side
    468,150x = 500,052,990,308.06
  5. Step 5: Solve for x
    x = 500,052,990,308.06/468,150
  6. Step 6: Final answer
    x = 1,068,146.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.