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Finding the Third Proportional to 290,569 and 436,145

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Solution

The third proportional to 290,569 and 436,145 is: 654,655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,569 : 436,145 = 436,145 : x
  2. Step 2: Convert to fraction form
    290,569/436,145 = 436,145/x
  3. Step 3: Cross multiply
    290,569x = 436,145 × 436,145
  4. Step 4: Simplify right side
    290,569x = 190,222,461,025
  5. Step 5: Solve for x
    x = 190,222,461,025/290,569
  6. Step 6: Final answer
    x = 654,655.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.