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Finding the Third Proportional to 407,227.50 and 535,511.25

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Solution

The third proportional to 407,227.50 and 535,511.25 is: 704,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,227.50 : 535,511.25 = 535,511.25 : x
  2. Step 2: Convert to fraction form
    407,227.50/535,511.25 = 535,511.25/x
  3. Step 3: Cross multiply
    407,227.50x = 535,511.25 × 535,511.25
  4. Step 4: Simplify right side
    407,227.50x = 286,772,298,876.56
  5. Step 5: Solve for x
    x = 286,772,298,876.56/407,227.50
  6. Step 6: Final answer
    x = 704,206.61

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.