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Finding the Third Proportional to 305,451 and 436,321.69

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Solution

The third proportional to 305,451 and 436,321.69 is: 623,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,451 : 436,321.69 = 436,321.69 : x
  2. Step 2: Convert to fraction form
    305,451/436,321.69 = 436,321.69/x
  3. Step 3: Cross multiply
    305,451x = 436,321.69 × 436,321.69
  4. Step 4: Simplify right side
    305,451x = 190,376,614,982.85
  5. Step 5: Solve for x
    x = 190,376,614,982.85/305,451
  6. Step 6: Final answer
    x = 623,264.01

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.