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Finding the Third Proportional to 597,808.50 and 1,290,055.50

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Solution

The third proportional to 597,808.50 and 1,290,055.50 is: 2,783,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,808.50 : 1,290,055.50 = 1,290,055.50 : x
  2. Step 2: Convert to fraction form
    597,808.50/1,290,055.50 = 1,290,055.50/x
  3. Step 3: Cross multiply
    597,808.50x = 1,290,055.50 × 1,290,055.50
  4. Step 4: Simplify right side
    597,808.50x = 1,664,243,193,080.25
  5. Step 5: Solve for x
    x = 1,664,243,193,080.25/597,808.50
  6. Step 6: Final answer
    x = 2,783,906.87

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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.