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Finding the Third Proportional to 292,993.25 and 621,958

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Solution

The third proportional to 292,993.25 and 621,958 is: 1,320,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,993.25 : 621,958 = 621,958 : x
  2. Step 2: Convert to fraction form
    292,993.25/621,958 = 621,958/x
  3. Step 3: Cross multiply
    292,993.25x = 621,958 × 621,958
  4. Step 4: Simplify right side
    292,993.25x = 386,831,753,764
  5. Step 5: Solve for x
    x = 386,831,753,764/292,993.25
  6. Step 6: Final answer
    x = 1,320,275.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.