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Finding the Third Proportional to 291,924 and 627,504

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Solution

The third proportional to 291,924 and 627,504 is: 1,348,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,924 : 627,504 = 627,504 : x
  2. Step 2: Convert to fraction form
    291,924/627,504 = 627,504/x
  3. Step 3: Cross multiply
    291,924x = 627,504 × 627,504
  4. Step 4: Simplify right side
    291,924x = 393,761,270,016
  5. Step 5: Solve for x
    x = 393,761,270,016/291,924
  6. Step 6: Final answer
    x = 1,348,848.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.