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Finding the Third Proportional to 624,198 and 993,321

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Solution

The third proportional to 624,198 and 993,321 is: 1,580,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,198 : 993,321 = 993,321 : x
  2. Step 2: Convert to fraction form
    624,198/993,321 = 993,321/x
  3. Step 3: Cross multiply
    624,198x = 993,321 × 993,321
  4. Step 4: Simplify right side
    624,198x = 986,686,609,041
  5. Step 5: Solve for x
    x = 986,686,609,041/624,198
  6. Step 6: Final answer
    x = 1,580,726.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.