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Finding the Third Proportional to 416,292.75 and 895,735.13

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Solution

The third proportional to 416,292.75 and 895,735.13 is: 1,927,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,292.75 : 895,735.13 = 895,735.13 : x
  2. Step 2: Convert to fraction form
    416,292.75/895,735.13 = 895,735.13/x
  3. Step 3: Cross multiply
    416,292.75x = 895,735.13 × 895,735.13
  4. Step 4: Simplify right side
    416,292.75x = 802,341,414,158.77
  5. Step 5: Solve for x
    x = 802,341,414,158.77/416,292.75
  6. Step 6: Final answer
    x = 1,927,349.00

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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.