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Finding the Third Proportional to 658,135.50 and 995,303.25

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Solution

The third proportional to 658,135.50 and 995,303.25 is: 1,505,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,135.50 : 995,303.25 = 995,303.25 : x
  2. Step 2: Convert to fraction form
    658,135.50/995,303.25 = 995,303.25/x
  3. Step 3: Cross multiply
    658,135.50x = 995,303.25 × 995,303.25
  4. Step 4: Simplify right side
    658,135.50x = 990,628,559,460.56
  5. Step 5: Solve for x
    x = 990,628,559,460.56/658,135.50
  6. Step 6: Final answer
    x = 1,505,204.57

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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.