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Finding the Third Proportional to 374,362 and 611,232

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Solution

The third proportional to 374,362 and 611,232 is: 997,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,362 : 611,232 = 611,232 : x
  2. Step 2: Convert to fraction form
    374,362/611,232 = 611,232/x
  3. Step 3: Cross multiply
    374,362x = 611,232 × 611,232
  4. Step 4: Simplify right side
    374,362x = 373,604,557,824
  5. Step 5: Solve for x
    x = 373,604,557,824/374,362
  6. Step 6: Final answer
    x = 997,976.71

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.