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Finding the Third Proportional to 610,734.94 and 898,325.44

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Solution

The third proportional to 610,734.94 and 898,325.44 is: 1,321,340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,734.94 : 898,325.44 = 898,325.44 : x
  2. Step 2: Convert to fraction form
    610,734.94/898,325.44 = 898,325.44/x
  3. Step 3: Cross multiply
    610,734.94x = 898,325.44 × 898,325.44
  4. Step 4: Simplify right side
    610,734.94x = 806,988,591,659.57
  5. Step 5: Solve for x
    x = 806,988,591,659.57/610,734.94
  6. Step 6: Final answer
    x = 1,321,340.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.