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Finding the Third Proportional to 310,900.50 and 669,366

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Solution

The third proportional to 310,900.50 and 669,366 is: 1,441,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,900.50 : 669,366 = 669,366 : x
  2. Step 2: Convert to fraction form
    310,900.50/669,366 = 669,366/x
  3. Step 3: Cross multiply
    310,900.50x = 669,366 × 669,366
  4. Step 4: Simplify right side
    310,900.50x = 448,050,841,956
  5. Step 5: Solve for x
    x = 448,050,841,956/310,900.50
  6. Step 6: Final answer
    x = 1,441,139.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.