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Finding the Third Proportional to 428,160 and 666,747

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Solution

The third proportional to 428,160 and 666,747 is: 1,038,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,160 : 666,747 = 666,747 : x
  2. Step 2: Convert to fraction form
    428,160/666,747 = 666,747/x
  3. Step 3: Cross multiply
    428,160x = 666,747 × 666,747
  4. Step 4: Simplify right side
    428,160x = 444,551,562,009
  5. Step 5: Solve for x
    x = 444,551,562,009/428,160
  6. Step 6: Final answer
    x = 1,038,283.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.