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Finding the Third Proportional to 770,440.50 and 1,185,732

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Solution

The third proportional to 770,440.50 and 1,185,732 is: 1,824,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,440.50 : 1,185,732 = 1,185,732 : x
  2. Step 2: Convert to fraction form
    770,440.50/1,185,732 = 1,185,732/x
  3. Step 3: Cross multiply
    770,440.50x = 1,185,732 × 1,185,732
  4. Step 4: Simplify right side
    770,440.50x = 1,405,960,375,824
  5. Step 5: Solve for x
    x = 1,405,960,375,824/770,440.50
  6. Step 6: Final answer
    x = 1,824,878.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.