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Finding the Third Proportional to 403,984 and 627,270

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Solution

The third proportional to 403,984 and 627,270 is: 973,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,984 : 627,270 = 627,270 : x
  2. Step 2: Convert to fraction form
    403,984/627,270 = 627,270/x
  3. Step 3: Cross multiply
    403,984x = 627,270 × 627,270
  4. Step 4: Simplify right side
    403,984x = 393,467,652,900
  5. Step 5: Solve for x
    x = 393,467,652,900/403,984
  6. Step 6: Final answer
    x = 973,968.41

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