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Finding the Third Proportional to 384,094 and 553,263

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Solution

The third proportional to 384,094 and 553,263 is: 796,940.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,094 : 553,263 = 553,263 : x
  2. Step 2: Convert to fraction form
    384,094/553,263 = 553,263/x
  3. Step 3: Cross multiply
    384,094x = 553,263 × 553,263
  4. Step 4: Simplify right side
    384,094x = 306,099,947,169
  5. Step 5: Solve for x
    x = 306,099,947,169/384,094
  6. Step 6: Final answer
    x = 796,940.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.