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Finding the Third Proportional to 514,378.69 and 764,116.88

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Solution

The third proportional to 514,378.69 and 764,116.88 is: 1,135,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,378.69 : 764,116.88 = 764,116.88 : x
  2. Step 2: Convert to fraction form
    514,378.69/764,116.88 = 764,116.88/x
  3. Step 3: Cross multiply
    514,378.69x = 764,116.88 × 764,116.88
  4. Step 4: Simplify right side
    514,378.69x = 583,874,598,659.77
  5. Step 5: Solve for x
    x = 583,874,598,659.77/514,378.69
  6. Step 6: Final answer
    x = 1,135,106.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.