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Finding the Third Proportional to 292,005 and 628,296.75

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Solution

The third proportional to 292,005 and 628,296.75 is: 1,351,883.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,005 : 628,296.75 = 628,296.75 : x
  2. Step 2: Convert to fraction form
    292,005/628,296.75 = 628,296.75/x
  3. Step 3: Cross multiply
    292,005x = 628,296.75 × 628,296.75
  4. Step 4: Simplify right side
    292,005x = 394,756,806,060.56
  5. Step 5: Solve for x
    x = 394,756,806,060.56/292,005
  6. Step 6: Final answer
    x = 1,351,883.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.