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Finding the Third Proportional to 209,044 and 407,576

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Solution

The third proportional to 209,044 and 407,576 is: 794,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,044 : 407,576 = 407,576 : x
  2. Step 2: Convert to fraction form
    209,044/407,576 = 407,576/x
  3. Step 3: Cross multiply
    209,044x = 407,576 × 407,576
  4. Step 4: Simplify right side
    209,044x = 166,118,195,776
  5. Step 5: Solve for x
    x = 166,118,195,776/209,044
  6. Step 6: Final answer
    x = 794,656.61

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.