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Finding the Third Proportional to 237,829.50 and 515,511

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Solution

The third proportional to 237,829.50 and 515,511 is: 1,117,403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,829.50 : 515,511 = 515,511 : x
  2. Step 2: Convert to fraction form
    237,829.50/515,511 = 515,511/x
  3. Step 3: Cross multiply
    237,829.50x = 515,511 × 515,511
  4. Step 4: Simplify right side
    237,829.50x = 265,751,591,121
  5. Step 5: Solve for x
    x = 265,751,591,121/237,829.50
  6. Step 6: Final answer
    x = 1,117,403.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.