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Finding the Third Proportional to 292,014 and 627,684

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Solution

The third proportional to 292,014 and 627,684 is: 1,349,206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,014 : 627,684 = 627,684 : x
  2. Step 2: Convert to fraction form
    292,014/627,684 = 627,684/x
  3. Step 3: Cross multiply
    292,014x = 627,684 × 627,684
  4. Step 4: Simplify right side
    292,014x = 393,987,203,856
  5. Step 5: Solve for x
    x = 393,987,203,856/292,014
  6. Step 6: Final answer
    x = 1,349,206.56

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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.