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Finding the Third Proportional to 296,334 and 699,232

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Solution

The third proportional to 296,334 and 699,232 is: 1,649,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,334 : 699,232 = 699,232 : x
  2. Step 2: Convert to fraction form
    296,334/699,232 = 699,232/x
  3. Step 3: Cross multiply
    296,334x = 699,232 × 699,232
  4. Step 4: Simplify right side
    296,334x = 488,925,389,824
  5. Step 5: Solve for x
    x = 488,925,389,824/296,334
  6. Step 6: Final answer
    x = 1,649,913.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.