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Finding the Third Proportional to 610,523.44 and 897,493.50

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Solution

The third proportional to 610,523.44 and 897,493.50 is: 1,319,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,523.44 : 897,493.50 = 897,493.50 : x
  2. Step 2: Convert to fraction form
    610,523.44/897,493.50 = 897,493.50/x
  3. Step 3: Cross multiply
    610,523.44x = 897,493.50 × 897,493.50
  4. Step 4: Simplify right side
    610,523.44x = 805,494,582,542.25
  5. Step 5: Solve for x
    x = 805,494,582,542.25/610,523.44
  6. Step 6: Final answer
    x = 1,319,350.79

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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.