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Finding the Third Proportional to 658,122 and 995,283

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Solution

The third proportional to 658,122 and 995,283 is: 1,505,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,122 : 995,283 = 995,283 : x
  2. Step 2: Convert to fraction form
    658,122/995,283 = 995,283/x
  3. Step 3: Cross multiply
    658,122x = 995,283 × 995,283
  4. Step 4: Simplify right side
    658,122x = 990,588,250,089
  5. Step 5: Solve for x
    x = 990,588,250,089/658,122
  6. Step 6: Final answer
    x = 1,505,174.19

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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.