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Finding the Third Proportional to 416,264.25 and 902,512.50

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Solution

The third proportional to 416,264.25 and 902,512.50 is: 1,956,758.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,264.25 : 902,512.50 = 902,512.50 : x
  2. Step 2: Convert to fraction form
    416,264.25/902,512.50 = 902,512.50/x
  3. Step 3: Cross multiply
    416,264.25x = 902,512.50 × 902,512.50
  4. Step 4: Simplify right side
    416,264.25x = 814,528,812,656.25
  5. Step 5: Solve for x
    x = 814,528,812,656.25/416,264.25
  6. Step 6: Final answer
    x = 1,956,758.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.