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Finding the Third Proportional to 580,845.94 and 1,258,200.84

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Solution

The third proportional to 580,845.94 and 1,258,200.84 is: 2,725,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,845.94 : 1,258,200.84 = 1,258,200.84 : x
  2. Step 2: Convert to fraction form
    580,845.94/1,258,200.84 = 1,258,200.84/x
  3. Step 3: Cross multiply
    580,845.94x = 1,258,200.84 × 1,258,200.84
  4. Step 4: Simplify right side
    580,845.94x = 1,583,069,363,213.21
  5. Step 5: Solve for x
    x = 1,583,069,363,213.21/580,845.94
  6. Step 6: Final answer
    x = 2,725,454.83

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Why These Related Problems?

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