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Finding the Third Proportional to 200,737 and 440,835

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Solution

The third proportional to 200,737 and 440,835 is: 968,110.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,737 : 440,835 = 440,835 : x
  2. Step 2: Convert to fraction form
    200,737/440,835 = 440,835/x
  3. Step 3: Cross multiply
    200,737x = 440,835 × 440,835
  4. Step 4: Simplify right side
    200,737x = 194,335,497,225
  5. Step 5: Solve for x
    x = 194,335,497,225/200,737
  6. Step 6: Final answer
    x = 968,110.00

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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.