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Finding the Third Proportional to 646,035.75 and 1,508,908.50

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Solution

The third proportional to 646,035.75 and 1,508,908.50 is: 3,524,270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,035.75 : 1,508,908.50 = 1,508,908.50 : x
  2. Step 2: Convert to fraction form
    646,035.75/1,508,908.50 = 1,508,908.50/x
  3. Step 3: Cross multiply
    646,035.75x = 1,508,908.50 × 1,508,908.50
  4. Step 4: Simplify right side
    646,035.75x = 2,276,804,861,372.25
  5. Step 5: Solve for x
    x = 2,276,804,861,372.25/646,035.75
  6. Step 6: Final answer
    x = 3,524,270.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.