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Finding the Third Proportional to 440,769.75 and 654,674.25

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Solution

The third proportional to 440,769.75 and 654,674.25 is: 972,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,769.75 : 654,674.25 = 654,674.25 : x
  2. Step 2: Convert to fraction form
    440,769.75/654,674.25 = 654,674.25/x
  3. Step 3: Cross multiply
    440,769.75x = 654,674.25 × 654,674.25
  4. Step 4: Simplify right side
    440,769.75x = 428,598,373,613.06
  5. Step 5: Solve for x
    x = 428,598,373,613.06/440,769.75
  6. Step 6: Final answer
    x = 972,386.09

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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.