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Finding the Third Proportional to 290,279.06 and 426,883.13

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Solution

The third proportional to 290,279.06 and 426,883.13 is: 627,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,279.06 : 426,883.13 = 426,883.13 : x
  2. Step 2: Convert to fraction form
    290,279.06/426,883.13 = 426,883.13/x
  3. Step 3: Cross multiply
    290,279.06x = 426,883.13 × 426,883.13
  4. Step 4: Simplify right side
    290,279.06x = 182,229,202,409.77
  5. Step 5: Solve for x
    x = 182,229,202,409.77/290,279.06
  6. Step 6: Final answer
    x = 627,772.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.