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Finding the Third Proportional to 284,089.75 and 613,244.50

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Solution

The third proportional to 284,089.75 and 613,244.50 is: 1,323,767.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,089.75 : 613,244.50 = 613,244.50 : x
  2. Step 2: Convert to fraction form
    284,089.75/613,244.50 = 613,244.50/x
  3. Step 3: Cross multiply
    284,089.75x = 613,244.50 × 613,244.50
  4. Step 4: Simplify right side
    284,089.75x = 376,068,816,780.25
  5. Step 5: Solve for x
    x = 376,068,816,780.25/284,089.75
  6. Step 6: Final answer
    x = 1,323,767.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.