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Finding the Third Proportional to 610,674.75 and 949,002.75

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Solution

The third proportional to 610,674.75 and 949,002.75 is: 1,474,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,674.75 : 949,002.75 = 949,002.75 : x
  2. Step 2: Convert to fraction form
    610,674.75/949,002.75 = 949,002.75/x
  3. Step 3: Cross multiply
    610,674.75x = 949,002.75 × 949,002.75
  4. Step 4: Simplify right side
    610,674.75x = 900,606,219,507.56
  5. Step 5: Solve for x
    x = 900,606,219,507.56/610,674.75
  6. Step 6: Final answer
    x = 1,474,772.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.