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Finding the Third Proportional to 290,801 and 426,616.50

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Solution

The third proportional to 290,801 and 426,616.50 is: 625,863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,801 : 426,616.50 = 426,616.50 : x
  2. Step 2: Convert to fraction form
    290,801/426,616.50 = 426,616.50/x
  3. Step 3: Cross multiply
    290,801x = 426,616.50 × 426,616.50
  4. Step 4: Simplify right side
    290,801x = 182,001,638,072.25
  5. Step 5: Solve for x
    x = 182,001,638,072.25/290,801
  6. Step 6: Final answer
    x = 625,863.18

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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.