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Finding the Third Proportional to 365,640 and 552,348

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Solution

The third proportional to 365,640 and 552,348 is: 834,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,640 : 552,348 = 552,348 : x
  2. Step 2: Convert to fraction form
    365,640/552,348 = 552,348/x
  3. Step 3: Cross multiply
    365,640x = 552,348 × 552,348
  4. Step 4: Simplify right side
    365,640x = 305,088,313,104
  5. Step 5: Solve for x
    x = 305,088,313,104/365,640
  6. Step 6: Final answer
    x = 834,395.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.