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Finding the Third Proportional to 615,540.12 and 983,338.42

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Solution

The third proportional to 615,540.12 and 983,338.42 is: 1,570,904.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,540.12 : 983,338.42 = 983,338.42 : x
  2. Step 2: Convert to fraction form
    615,540.12/983,338.42 = 983,338.42/x
  3. Step 3: Cross multiply
    615,540.12x = 983,338.42 × 983,338.42
  4. Step 4: Simplify right side
    615,540.12x = 966,954,444,253.23
  5. Step 5: Solve for x
    x = 966,954,444,253.23/615,540.12
  6. Step 6: Final answer
    x = 1,570,904.01

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.