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Finding the Third Proportional to 376,824 and 808,242

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Solution

The third proportional to 376,824 and 808,242 is: 1,733,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,824 : 808,242 = 808,242 : x
  2. Step 2: Convert to fraction form
    376,824/808,242 = 808,242/x
  3. Step 3: Cross multiply
    376,824x = 808,242 × 808,242
  4. Step 4: Simplify right side
    376,824x = 653,255,130,564
  5. Step 5: Solve for x
    x = 653,255,130,564/376,824
  6. Step 6: Final answer
    x = 1,733,581.54

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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.