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Finding the Third Proportional to 440,775 and 654,682.50

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Solution

The third proportional to 440,775 and 654,682.50 is: 972,399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,775 : 654,682.50 = 654,682.50 : x
  2. Step 2: Convert to fraction form
    440,775/654,682.50 = 654,682.50/x
  3. Step 3: Cross multiply
    440,775x = 654,682.50 × 654,682.50
  4. Step 4: Simplify right side
    440,775x = 428,609,175,806.25
  5. Step 5: Solve for x
    x = 428,609,175,806.25/440,775
  6. Step 6: Final answer
    x = 972,399.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.