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Finding the Third Proportional to 422,658 and 627,000

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Solution

The third proportional to 422,658 and 627,000 is: 930,135.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,658 : 627,000 = 627,000 : x
  2. Step 2: Convert to fraction form
    422,658/627,000 = 627,000/x
  3. Step 3: Cross multiply
    422,658x = 627,000 × 627,000
  4. Step 4: Simplify right side
    422,658x = 393,129,000,000
  5. Step 5: Solve for x
    x = 393,129,000,000/422,658
  6. Step 6: Final answer
    x = 930,135.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.