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Finding the Third Proportional to 513,648 and 798,444

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Solution

The third proportional to 513,648 and 798,444 is: 1,241,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,648 : 798,444 = 798,444 : x
  2. Step 2: Convert to fraction form
    513,648/798,444 = 798,444/x
  3. Step 3: Cross multiply
    513,648x = 798,444 × 798,444
  4. Step 4: Simplify right side
    513,648x = 637,512,821,136
  5. Step 5: Solve for x
    x = 637,512,821,136/513,648
  6. Step 6: Final answer
    x = 1,241,147.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.