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Finding the Third Proportional to 290,435.06 and 632,541.94

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Solution

The third proportional to 290,435.06 and 632,541.94 is: 1,377,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,435.06 : 632,541.94 = 632,541.94 : x
  2. Step 2: Convert to fraction form
    290,435.06/632,541.94 = 632,541.94/x
  3. Step 3: Cross multiply
    290,435.06x = 632,541.94 × 632,541.94
  4. Step 4: Simplify right side
    290,435.06x = 400,109,302,696.25
  5. Step 5: Solve for x
    x = 400,109,302,696.25/290,435.06
  6. Step 6: Final answer
    x = 1,377,620.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.