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Finding the Third Proportional to 416,387.25 and 895,920.75

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Solution

The third proportional to 416,387.25 and 895,920.75 is: 1,927,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,387.25 : 895,920.75 = 895,920.75 : x
  2. Step 2: Convert to fraction form
    416,387.25/895,920.75 = 895,920.75/x
  3. Step 3: Cross multiply
    416,387.25x = 895,920.75 × 895,920.75
  4. Step 4: Simplify right side
    416,387.25x = 802,673,990,280.56
  5. Step 5: Solve for x
    x = 802,673,990,280.56/416,387.25
  6. Step 6: Final answer
    x = 1,927,710.30

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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.