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Finding the Third Proportional to 416,211.75 and 895,590

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Solution

The third proportional to 416,211.75 and 895,590 is: 1,927,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,211.75 : 895,590 = 895,590 : x
  2. Step 2: Convert to fraction form
    416,211.75/895,590 = 895,590/x
  3. Step 3: Cross multiply
    416,211.75x = 895,590 × 895,590
  4. Step 4: Simplify right side
    416,211.75x = 802,081,448,100
  5. Step 5: Solve for x
    x = 802,081,448,100/416,211.75
  6. Step 6: Final answer
    x = 1,927,099.48

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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.