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Finding the Third Proportional to 538,955.50 and 898,205

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Solution

The third proportional to 538,955.50 and 898,205 is: 1,496,918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,955.50 : 898,205 = 898,205 : x
  2. Step 2: Convert to fraction form
    538,955.50/898,205 = 898,205/x
  3. Step 3: Cross multiply
    538,955.50x = 898,205 × 898,205
  4. Step 4: Simplify right side
    538,955.50x = 806,772,222,025
  5. Step 5: Solve for x
    x = 806,772,222,025/538,955.50
  6. Step 6: Final answer
    x = 1,496,918.06

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.