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Finding the Third Proportional to 299,088.75 and 656,298.75

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Solution

The third proportional to 299,088.75 and 656,298.75 is: 1,440,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,088.75 : 656,298.75 = 656,298.75 : x
  2. Step 2: Convert to fraction form
    299,088.75/656,298.75 = 656,298.75/x
  3. Step 3: Cross multiply
    299,088.75x = 656,298.75 × 656,298.75
  4. Step 4: Simplify right side
    299,088.75x = 430,728,049,251.56
  5. Step 5: Solve for x
    x = 430,728,049,251.56/299,088.75
  6. Step 6: Final answer
    x = 1,440,134.57

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Why These Related Problems?

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