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Finding the Third Proportional to 306,820.50 and 656,286

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Solution

The third proportional to 306,820.50 and 656,286 is: 1,403,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,820.50 : 656,286 = 656,286 : x
  2. Step 2: Convert to fraction form
    306,820.50/656,286 = 656,286/x
  3. Step 3: Cross multiply
    306,820.50x = 656,286 × 656,286
  4. Step 4: Simplify right side
    306,820.50x = 430,711,313,796
  5. Step 5: Solve for x
    x = 430,711,313,796/306,820.50
  6. Step 6: Final answer
    x = 1,403,789.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.