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Finding the Third Proportional to 658,142 and 995,313

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Solution

The third proportional to 658,142 and 995,313 is: 1,505,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,142 : 995,313 = 995,313 : x
  2. Step 2: Convert to fraction form
    658,142/995,313 = 995,313/x
  3. Step 3: Cross multiply
    658,142x = 995,313 × 995,313
  4. Step 4: Simplify right side
    658,142x = 990,647,967,969
  5. Step 5: Solve for x
    x = 990,647,967,969/658,142
  6. Step 6: Final answer
    x = 1,505,219.19

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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.