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Finding the Third Proportional to 299,530.50 and 452,415

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Solution

The third proportional to 299,530.50 and 452,415 is: 683,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,530.50 : 452,415 = 452,415 : x
  2. Step 2: Convert to fraction form
    299,530.50/452,415 = 452,415/x
  3. Step 3: Cross multiply
    299,530.50x = 452,415 × 452,415
  4. Step 4: Simplify right side
    299,530.50x = 204,679,332,225
  5. Step 5: Solve for x
    x = 204,679,332,225/299,530.50
  6. Step 6: Final answer
    x = 683,333.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.