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Finding the Third Proportional to 394,848 and 562,740

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Solution

The third proportional to 394,848 and 562,740 is: 802,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,848 : 562,740 = 562,740 : x
  2. Step 2: Convert to fraction form
    394,848/562,740 = 562,740/x
  3. Step 3: Cross multiply
    394,848x = 562,740 × 562,740
  4. Step 4: Simplify right side
    394,848x = 316,676,307,600
  5. Step 5: Solve for x
    x = 316,676,307,600/394,848
  6. Step 6: Final answer
    x = 802,020.80

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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.