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Finding the Third Proportional to 447,973.50 and 693,627.75

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Solution

The third proportional to 447,973.50 and 693,627.75 is: 1,073,990.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,973.50 : 693,627.75 = 693,627.75 : x
  2. Step 2: Convert to fraction form
    447,973.50/693,627.75 = 693,627.75/x
  3. Step 3: Cross multiply
    447,973.50x = 693,627.75 × 693,627.75
  4. Step 4: Simplify right side
    447,973.50x = 481,119,455,570.06
  5. Step 5: Solve for x
    x = 481,119,455,570.06/447,973.50
  6. Step 6: Final answer
    x = 1,073,990.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.