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Finding the Third Proportional to 416,380.50 and 895,925.81

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Solution

The third proportional to 416,380.50 and 895,925.81 is: 1,927,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,380.50 : 895,925.81 = 895,925.81 : x
  2. Step 2: Convert to fraction form
    416,380.50/895,925.81 = 895,925.81/x
  3. Step 3: Cross multiply
    416,380.50x = 895,925.81 × 895,925.81
  4. Step 4: Simplify right side
    416,380.50x = 802,683,061,503.79
  5. Step 5: Solve for x
    x = 802,683,061,503.79/416,380.50
  6. Step 6: Final answer
    x = 1,927,763.34

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