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Finding the Third Proportional to 292,058 and 627,748

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Solution

The third proportional to 292,058 and 627,748 is: 1,349,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,058 : 627,748 = 627,748 : x
  2. Step 2: Convert to fraction form
    292,058/627,748 = 627,748/x
  3. Step 3: Cross multiply
    292,058x = 627,748 × 627,748
  4. Step 4: Simplify right side
    292,058x = 394,067,551,504
  5. Step 5: Solve for x
    x = 394,067,551,504/292,058
  6. Step 6: Final answer
    x = 1,349,278.40

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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.