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Finding the Third Proportional to 292,992 and 627,456

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Solution

The third proportional to 292,992 and 627,456 is: 1,343,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,992 : 627,456 = 627,456 : x
  2. Step 2: Convert to fraction form
    292,992/627,456 = 627,456/x
  3. Step 3: Cross multiply
    292,992x = 627,456 × 627,456
  4. Step 4: Simplify right side
    292,992x = 393,701,031,936
  5. Step 5: Solve for x
    x = 393,701,031,936/292,992
  6. Step 6: Final answer
    x = 1,343,726.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.