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Finding the Third Proportional to 284,873.84 and 607,883.48

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Solution

The third proportional to 284,873.84 and 607,883.48 is: 1,297,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,873.84 : 607,883.48 = 607,883.48 : x
  2. Step 2: Convert to fraction form
    284,873.84/607,883.48 = 607,883.48/x
  3. Step 3: Cross multiply
    284,873.84x = 607,883.48 × 607,883.48
  4. Step 4: Simplify right side
    284,873.84x = 369,522,330,575.89
  5. Step 5: Solve for x
    x = 369,522,330,575.89/284,873.84
  6. Step 6: Final answer
    x = 1,297,143.80

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.