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Finding the Third Proportional to 291,106.13 and 636,522.75

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Solution

The third proportional to 291,106.13 and 636,522.75 is: 1,391,798.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,106.13 : 636,522.75 = 636,522.75 : x
  2. Step 2: Convert to fraction form
    291,106.13/636,522.75 = 636,522.75/x
  3. Step 3: Cross multiply
    291,106.13x = 636,522.75 × 636,522.75
  4. Step 4: Simplify right side
    291,106.13x = 405,161,211,267.56
  5. Step 5: Solve for x
    x = 405,161,211,267.56/291,106.13
  6. Step 6: Final answer
    x = 1,391,798.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.