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Finding the Third Proportional to 763,681.50 and 1,508,085

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Solution

The third proportional to 763,681.50 and 1,508,085 is: 2,978,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,681.50 : 1,508,085 = 1,508,085 : x
  2. Step 2: Convert to fraction form
    763,681.50/1,508,085 = 1,508,085/x
  3. Step 3: Cross multiply
    763,681.50x = 1,508,085 × 1,508,085
  4. Step 4: Simplify right side
    763,681.50x = 2,274,320,367,225
  5. Step 5: Solve for x
    x = 2,274,320,367,225/763,681.50
  6. Step 6: Final answer
    x = 2,978,100.64

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.