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Finding the Third Proportional to 244,608 and 529,152

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Solution

The third proportional to 244,608 and 529,152 is: 1,144,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,608 : 529,152 = 529,152 : x
  2. Step 2: Convert to fraction form
    244,608/529,152 = 529,152/x
  3. Step 3: Cross multiply
    244,608x = 529,152 × 529,152
  4. Step 4: Simplify right side
    244,608x = 280,001,839,104
  5. Step 5: Solve for x
    x = 280,001,839,104/244,608
  6. Step 6: Final answer
    x = 1,144,696.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.