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Finding the Third Proportional to 438,764 and 663,546

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Solution

The third proportional to 438,764 and 663,546 is: 1,003,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,764 : 663,546 = 663,546 : x
  2. Step 2: Convert to fraction form
    438,764/663,546 = 663,546/x
  3. Step 3: Cross multiply
    438,764x = 663,546 × 663,546
  4. Step 4: Simplify right side
    438,764x = 440,293,294,116
  5. Step 5: Solve for x
    x = 440,293,294,116/438,764
  6. Step 6: Final answer
    x = 1,003,485.46

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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.