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Finding the Third Proportional to 292,064 and 450,993

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Solution

The third proportional to 292,064 and 450,993 is: 696,404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,064 : 450,993 = 450,993 : x
  2. Step 2: Convert to fraction form
    292,064/450,993 = 450,993/x
  3. Step 3: Cross multiply
    292,064x = 450,993 × 450,993
  4. Step 4: Simplify right side
    292,064x = 203,394,686,049
  5. Step 5: Solve for x
    x = 203,394,686,049/292,064
  6. Step 6: Final answer
    x = 696,404.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.