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Finding the Third Proportional to 291,095.50 and 441,567.25

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Solution

The third proportional to 291,095.50 and 441,567.25 is: 669,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,095.50 : 441,567.25 = 441,567.25 : x
  2. Step 2: Convert to fraction form
    291,095.50/441,567.25 = 441,567.25/x
  3. Step 3: Cross multiply
    291,095.50x = 441,567.25 × 441,567.25
  4. Step 4: Simplify right side
    291,095.50x = 194,981,636,272.56
  5. Step 5: Solve for x
    x = 194,981,636,272.56/291,095.50
  6. Step 6: Final answer
    x = 669,820.17

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.