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Finding the Third Proportional to 512,266.50 and 770,053.50

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Solution

The third proportional to 512,266.50 and 770,053.50 is: 1,157,566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,266.50 : 770,053.50 = 770,053.50 : x
  2. Step 2: Convert to fraction form
    512,266.50/770,053.50 = 770,053.50/x
  3. Step 3: Cross multiply
    512,266.50x = 770,053.50 × 770,053.50
  4. Step 4: Simplify right side
    512,266.50x = 592,982,392,862.25
  5. Step 5: Solve for x
    x = 592,982,392,862.25/512,266.50
  6. Step 6: Final answer
    x = 1,157,566.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.