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Finding the Third Proportional to 315,258.50 and 442,370.25

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Solution

The third proportional to 315,258.50 and 442,370.25 is: 620,733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,258.50 : 442,370.25 = 442,370.25 : x
  2. Step 2: Convert to fraction form
    315,258.50/442,370.25 = 442,370.25/x
  3. Step 3: Cross multiply
    315,258.50x = 442,370.25 × 442,370.25
  4. Step 4: Simplify right side
    315,258.50x = 195,691,438,085.06
  5. Step 5: Solve for x
    x = 195,691,438,085.06/315,258.50
  6. Step 6: Final answer
    x = 620,733.27

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.