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Finding the Third Proportional to 460,545.75 and 995,996.25

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Solution

The third proportional to 460,545.75 and 995,996.25 is: 2,153,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,545.75 : 995,996.25 = 995,996.25 : x
  2. Step 2: Convert to fraction form
    460,545.75/995,996.25 = 995,996.25/x
  3. Step 3: Cross multiply
    460,545.75x = 995,996.25 × 995,996.25
  4. Step 4: Simplify right side
    460,545.75x = 992,008,530,014.06
  5. Step 5: Solve for x
    x = 992,008,530,014.06/460,545.75
  6. Step 6: Final answer
    x = 2,153,984.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.