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Finding the Third Proportional to 394,798 and 562,673

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Solution

The third proportional to 394,798 and 562,673 is: 801,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,798 : 562,673 = 562,673 : x
  2. Step 2: Convert to fraction form
    394,798/562,673 = 562,673/x
  3. Step 3: Cross multiply
    394,798x = 562,673 × 562,673
  4. Step 4: Simplify right side
    394,798x = 316,600,904,929
  5. Step 5: Solve for x
    x = 316,600,904,929/394,798
  6. Step 6: Final answer
    x = 801,931.38

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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.