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Finding the Third Proportional to 658,928.25 and 995,412.38

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Solution

The third proportional to 658,928.25 and 995,412.38 is: 1,503,723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,928.25 : 995,412.38 = 995,412.38 : x
  2. Step 2: Convert to fraction form
    658,928.25/995,412.38 = 995,412.38/x
  3. Step 3: Cross multiply
    658,928.25x = 995,412.38 × 995,412.38
  4. Step 4: Simplify right side
    658,928.25x = 990,845,796,303.14
  5. Step 5: Solve for x
    x = 990,845,796,303.14/658,928.25
  6. Step 6: Final answer
    x = 1,503,723.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.