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Finding the Third Proportional to 299,110.50 and 650,709

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Solution

The third proportional to 299,110.50 and 650,709 is: 1,415,604.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,110.50 : 650,709 = 650,709 : x
  2. Step 2: Convert to fraction form
    299,110.50/650,709 = 650,709/x
  3. Step 3: Cross multiply
    299,110.50x = 650,709 × 650,709
  4. Step 4: Simplify right side
    299,110.50x = 423,422,202,681
  5. Step 5: Solve for x
    x = 423,422,202,681/299,110.50
  6. Step 6: Final answer
    x = 1,415,604.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.