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Finding the Third Proportional to 236,824 and 507,344

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Solution

The third proportional to 236,824 and 507,344 is: 1,086,874.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,824 : 507,344 = 507,344 : x
  2. Step 2: Convert to fraction form
    236,824/507,344 = 507,344/x
  3. Step 3: Cross multiply
    236,824x = 507,344 × 507,344
  4. Step 4: Simplify right side
    236,824x = 257,397,934,336
  5. Step 5: Solve for x
    x = 257,397,934,336/236,824
  6. Step 6: Final answer
    x = 1,086,874.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.