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Finding the Third Proportional to 244,100 and 525,656

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Solution

The third proportional to 244,100 and 525,656 is: 1,131,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,100 : 525,656 = 525,656 : x
  2. Step 2: Convert to fraction form
    244,100/525,656 = 525,656/x
  3. Step 3: Cross multiply
    244,100x = 525,656 × 525,656
  4. Step 4: Simplify right side
    244,100x = 276,314,230,336
  5. Step 5: Solve for x
    x = 276,314,230,336/244,100
  6. Step 6: Final answer
    x = 1,131,971.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.