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Finding the Third Proportional to 416,272.50 and 898,929

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Solution

The third proportional to 416,272.50 and 898,929 is: 1,941,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,272.50 : 898,929 = 898,929 : x
  2. Step 2: Convert to fraction form
    416,272.50/898,929 = 898,929/x
  3. Step 3: Cross multiply
    416,272.50x = 898,929 × 898,929
  4. Step 4: Simplify right side
    416,272.50x = 808,073,347,041
  5. Step 5: Solve for x
    x = 808,073,347,041/416,272.50
  6. Step 6: Final answer
    x = 1,941,212.42

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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.