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Finding the Third Proportional to 200,570.25 and 440,501.25

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Solution

The third proportional to 200,570.25 and 440,501.25 is: 967,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,570.25 : 440,501.25 = 440,501.25 : x
  2. Step 2: Convert to fraction form
    200,570.25/440,501.25 = 440,501.25/x
  3. Step 3: Cross multiply
    200,570.25x = 440,501.25 × 440,501.25
  4. Step 4: Simplify right side
    200,570.25x = 194,041,351,251.56
  5. Step 5: Solve for x
    x = 194,041,351,251.56/200,570.25
  6. Step 6: Final answer
    x = 967,448.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.