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Finding the Third Proportional to 285,356.25 and 674,841.38

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Solution

The third proportional to 285,356.25 and 674,841.38 is: 1,595,937.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,356.25 : 674,841.38 = 674,841.38 : x
  2. Step 2: Convert to fraction form
    285,356.25/674,841.38 = 674,841.38/x
  3. Step 3: Cross multiply
    285,356.25x = 674,841.38 × 674,841.38
  4. Step 4: Simplify right side
    285,356.25x = 455,410,881,411.89
  5. Step 5: Solve for x
    x = 455,410,881,411.89/285,356.25
  6. Step 6: Final answer
    x = 1,595,937.99

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.