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Finding the Third Proportional to 407,937 and 573,450.75

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Solution

The third proportional to 407,937 and 573,450.75 is: 806,118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,937 : 573,450.75 = 573,450.75 : x
  2. Step 2: Convert to fraction form
    407,937/573,450.75 = 573,450.75/x
  3. Step 3: Cross multiply
    407,937x = 573,450.75 × 573,450.75
  4. Step 4: Simplify right side
    407,937x = 328,845,762,675.56
  5. Step 5: Solve for x
    x = 328,845,762,675.56/407,937
  6. Step 6: Final answer
    x = 806,118.99

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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.