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Finding the Third Proportional to 291,814 and 627,222

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Solution

The third proportional to 291,814 and 627,222 is: 1,348,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,814 : 627,222 = 627,222 : x
  2. Step 2: Convert to fraction form
    291,814/627,222 = 627,222/x
  3. Step 3: Cross multiply
    291,814x = 627,222 × 627,222
  4. Step 4: Simplify right side
    291,814x = 393,407,437,284
  5. Step 5: Solve for x
    x = 393,407,437,284/291,814
  6. Step 6: Final answer
    x = 1,348,144.49

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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.