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Finding the Third Proportional to 471,654 and 666,747

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Solution

The third proportional to 471,654 and 666,747 is: 942,537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,654 : 666,747 = 666,747 : x
  2. Step 2: Convert to fraction form
    471,654/666,747 = 666,747/x
  3. Step 3: Cross multiply
    471,654x = 666,747 × 666,747
  4. Step 4: Simplify right side
    471,654x = 444,551,562,009
  5. Step 5: Solve for x
    x = 444,551,562,009/471,654
  6. Step 6: Final answer
    x = 942,537.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.