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Finding the Third Proportional to 292,062 and 627,756

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Solution

The third proportional to 292,062 and 627,756 is: 1,349,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,062 : 627,756 = 627,756 : x
  2. Step 2: Convert to fraction form
    292,062/627,756 = 627,756/x
  3. Step 3: Cross multiply
    292,062x = 627,756 × 627,756
  4. Step 4: Simplify right side
    292,062x = 394,077,595,536
  5. Step 5: Solve for x
    x = 394,077,595,536/292,062
  6. Step 6: Final answer
    x = 1,349,294.31

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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.