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Finding the Third Proportional to 290,115 and 623,083.50

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Solution

The third proportional to 290,115 and 623,083.50 is: 1,338,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,115 : 623,083.50 = 623,083.50 : x
  2. Step 2: Convert to fraction form
    290,115/623,083.50 = 623,083.50/x
  3. Step 3: Cross multiply
    290,115x = 623,083.50 × 623,083.50
  4. Step 4: Simplify right side
    290,115x = 388,233,047,972.25
  5. Step 5: Solve for x
    x = 388,233,047,972.25/290,115
  6. Step 6: Final answer
    x = 1,338,203.98

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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.