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Finding the Third Proportional to 270,884.25 and 413,545.50

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Solution

The third proportional to 270,884.25 and 413,545.50 is: 631,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,884.25 : 413,545.50 = 413,545.50 : x
  2. Step 2: Convert to fraction form
    270,884.25/413,545.50 = 413,545.50/x
  3. Step 3: Cross multiply
    270,884.25x = 413,545.50 × 413,545.50
  4. Step 4: Simplify right side
    270,884.25x = 171,019,880,570.25
  5. Step 5: Solve for x
    x = 171,019,880,570.25/270,884.25
  6. Step 6: Final answer
    x = 631,339.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.