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Finding the Third Proportional to 291,617,682 and 410,196,819

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Solution

The third proportional to 291,617,682 and 410,196,819 is: 576,993,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,617,682 : 410,196,819 = 410,196,819 : x
  2. Step 2: Convert to fraction form
    291,617,682/410,196,819 = 410,196,819/x
  3. Step 3: Cross multiply
    291,617,682x = 410,196,819 × 410,196,819
  4. Step 4: Simplify right side
    291,617,682x = 168,261,430,317,718,752
  5. Step 5: Solve for x
    x = 168,261,430,317,718,752/291,617,682
  6. Step 6: Final answer
    x = 576,993,237.05

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.