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Finding the Third Proportional to 580,834.97 and 1,258,202.53

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Solution

The third proportional to 580,834.97 and 1,258,202.53 is: 2,725,513.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,834.97 : 1,258,202.53 = 1,258,202.53 : x
  2. Step 2: Convert to fraction form
    580,834.97/1,258,202.53 = 1,258,202.53/x
  3. Step 3: Cross multiply
    580,834.97x = 1,258,202.53 × 1,258,202.53
  4. Step 4: Simplify right side
    580,834.97x = 1,583,073,609,643.91
  5. Step 5: Solve for x
    x = 1,583,073,609,643.91/580,834.97
  6. Step 6: Final answer
    x = 2,725,513.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.