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Finding the Third Proportional to 290,878 and 426,738

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Solution

The third proportional to 290,878 and 426,738 is: 626,053.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,878 : 426,738 = 426,738 : x
  2. Step 2: Convert to fraction form
    290,878/426,738 = 426,738/x
  3. Step 3: Cross multiply
    290,878x = 426,738 × 426,738
  4. Step 4: Simplify right side
    290,878x = 182,105,320,644
  5. Step 5: Solve for x
    x = 182,105,320,644/290,878
  6. Step 6: Final answer
    x = 626,053.95

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