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Finding the Third Proportional to 544,148 and 844,640

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Solution

The third proportional to 544,148 and 844,640 is: 1,311,071.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,148 : 844,640 = 844,640 : x
  2. Step 2: Convert to fraction form
    544,148/844,640 = 844,640/x
  3. Step 3: Cross multiply
    544,148x = 844,640 × 844,640
  4. Step 4: Simplify right side
    544,148x = 713,416,729,600
  5. Step 5: Solve for x
    x = 713,416,729,600/544,148
  6. Step 6: Final answer
    x = 1,311,071.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.