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Finding the Third Proportional to 293,002 and 631,508

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Solution

The third proportional to 293,002 and 631,508 is: 1,361,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,002 : 631,508 = 631,508 : x
  2. Step 2: Convert to fraction form
    293,002/631,508 = 631,508/x
  3. Step 3: Cross multiply
    293,002x = 631,508 × 631,508
  4. Step 4: Simplify right side
    293,002x = 398,802,354,064
  5. Step 5: Solve for x
    x = 398,802,354,064/293,002
  6. Step 6: Final answer
    x = 1,361,090.89

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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.