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Finding the Third Proportional to 403,794 and 627,013

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Solution

The third proportional to 403,794 and 627,013 is: 973,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,794 : 627,013 = 627,013 : x
  2. Step 2: Convert to fraction form
    403,794/627,013 = 627,013/x
  3. Step 3: Cross multiply
    403,794x = 627,013 × 627,013
  4. Step 4: Simplify right side
    403,794x = 393,145,302,169
  5. Step 5: Solve for x
    x = 393,145,302,169/403,794
  6. Step 6: Final answer
    x = 973,628.39

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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.