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Finding the Third Proportional to 200,567.81 and 440,501.91

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Solution

The third proportional to 200,567.81 and 440,501.91 is: 967,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,567.81 : 440,501.91 = 440,501.91 : x
  2. Step 2: Convert to fraction form
    200,567.81/440,501.91 = 440,501.91/x
  3. Step 3: Cross multiply
    200,567.81x = 440,501.91 × 440,501.91
  4. Step 4: Simplify right side
    200,567.81x = 194,041,929,409.88
  5. Step 5: Solve for x
    x = 194,041,929,409.88/200,567.81
  6. Step 6: Final answer
    x = 967,462.96

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