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Finding the Third Proportional to 416,037 and 898,367.50

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Solution

The third proportional to 416,037 and 898,367.50 is: 1,939,885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,037 : 898,367.50 = 898,367.50 : x
  2. Step 2: Convert to fraction form
    416,037/898,367.50 = 898,367.50/x
  3. Step 3: Cross multiply
    416,037x = 898,367.50 × 898,367.50
  4. Step 4: Simplify right side
    416,037x = 807,064,165,056.25
  5. Step 5: Solve for x
    x = 807,064,165,056.25/416,037
  6. Step 6: Final answer
    x = 1,939,885.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.