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Finding the Third Proportional to 285,974.93 and 616,274.58

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Solution

The third proportional to 285,974.93 and 616,274.58 is: 1,328,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,974.93 : 616,274.58 = 616,274.58 : x
  2. Step 2: Convert to fraction form
    285,974.93/616,274.58 = 616,274.58/x
  3. Step 3: Cross multiply
    285,974.93x = 616,274.58 × 616,274.58
  4. Step 4: Simplify right side
    285,974.93x = 379,794,355,643.15
  5. Step 5: Solve for x
    x = 379,794,355,643.15/285,974.93
  6. Step 6: Final answer
    x = 1,328,068.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.