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Finding the Third Proportional to 301,414.50 and 410,476.50

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Solution

The third proportional to 301,414.50 and 410,476.50 is: 559,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,414.50 : 410,476.50 = 410,476.50 : x
  2. Step 2: Convert to fraction form
    301,414.50/410,476.50 = 410,476.50/x
  3. Step 3: Cross multiply
    301,414.50x = 410,476.50 × 410,476.50
  4. Step 4: Simplify right side
    301,414.50x = 168,490,957,052.25
  5. Step 5: Solve for x
    x = 168,490,957,052.25/301,414.50
  6. Step 6: Final answer
    x = 559,000.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.