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Finding the Third Proportional to 374,232 and 816,180

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Solution

The third proportional to 374,232 and 816,180 is: 1,780,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,232 : 816,180 = 816,180 : x
  2. Step 2: Convert to fraction form
    374,232/816,180 = 816,180/x
  3. Step 3: Cross multiply
    374,232x = 816,180 × 816,180
  4. Step 4: Simplify right side
    374,232x = 666,149,792,400
  5. Step 5: Solve for x
    x = 666,149,792,400/374,232
  6. Step 6: Final answer
    x = 1,780,044.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.