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Finding the Third Proportional to 395,048 and 564,512

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Solution

The third proportional to 395,048 and 564,512 is: 806,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,048 : 564,512 = 564,512 : x
  2. Step 2: Convert to fraction form
    395,048/564,512 = 564,512/x
  3. Step 3: Cross multiply
    395,048x = 564,512 × 564,512
  4. Step 4: Simplify right side
    395,048x = 318,673,798,144
  5. Step 5: Solve for x
    x = 318,673,798,144/395,048
  6. Step 6: Final answer
    x = 806,671.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.