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Finding the Third Proportional to 397,116 and 607,599.56

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Solution

The third proportional to 397,116 and 607,599.56 is: 929,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,116 : 607,599.56 = 607,599.56 : x
  2. Step 2: Convert to fraction form
    397,116/607,599.56 = 607,599.56/x
  3. Step 3: Cross multiply
    397,116x = 607,599.56 × 607,599.56
  4. Step 4: Simplify right side
    397,116x = 369,177,228,350.19
  5. Step 5: Solve for x
    x = 369,177,228,350.19/397,116
  6. Step 6: Final answer
    x = 929,645.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.