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Finding the Third Proportional to 318,684 and 699,576

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Solution

The third proportional to 318,684 and 699,576 is: 1,535,711.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,684 : 699,576 = 699,576 : x
  2. Step 2: Convert to fraction form
    318,684/699,576 = 699,576/x
  3. Step 3: Cross multiply
    318,684x = 699,576 × 699,576
  4. Step 4: Simplify right side
    318,684x = 489,406,579,776
  5. Step 5: Solve for x
    x = 489,406,579,776/318,684
  6. Step 6: Final answer
    x = 1,535,711.17

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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.