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Finding the Third Proportional to 567,638 and 946,028

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Solution

The third proportional to 567,638 and 946,028 is: 1,576,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,638 : 946,028 = 946,028 : x
  2. Step 2: Convert to fraction form
    567,638/946,028 = 946,028/x
  3. Step 3: Cross multiply
    567,638x = 946,028 × 946,028
  4. Step 4: Simplify right side
    567,638x = 894,968,976,784
  5. Step 5: Solve for x
    x = 894,968,976,784/567,638
  6. Step 6: Final answer
    x = 1,576,654.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.