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Finding the Third Proportional to 299,106.42 and 656,350.59

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Solution

The third proportional to 299,106.42 and 656,350.59 is: 1,440,277.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,106.42 : 656,350.59 = 656,350.59 : x
  2. Step 2: Convert to fraction form
    299,106.42/656,350.59 = 656,350.59/x
  3. Step 3: Cross multiply
    299,106.42x = 656,350.59 × 656,350.59
  4. Step 4: Simplify right side
    299,106.42x = 430,796,101,915.98
  5. Step 5: Solve for x
    x = 430,796,101,915.98/299,106.42
  6. Step 6: Final answer
    x = 1,440,277.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.