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Finding the Third Proportional to 477,039.38 and 668,563.88

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Solution

The third proportional to 477,039.38 and 668,563.88 is: 936,982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,039.38 : 668,563.88 = 668,563.88 : x
  2. Step 2: Convert to fraction form
    477,039.38/668,563.88 = 668,563.88/x
  3. Step 3: Cross multiply
    477,039.38x = 668,563.88 × 668,563.88
  4. Step 4: Simplify right side
    477,039.38x = 446,977,654,955.02
  5. Step 5: Solve for x
    x = 446,977,654,955.02/477,039.38
  6. Step 6: Final answer
    x = 936,982.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.