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Finding the Third Proportional to 322,290.56 and 683,000.86

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Solution

The third proportional to 322,290.56 and 683,000.86 is: 1,447,421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,290.56 : 683,000.86 = 683,000.86 : x
  2. Step 2: Convert to fraction form
    322,290.56/683,000.86 = 683,000.86/x
  3. Step 3: Cross multiply
    322,290.56x = 683,000.86 × 683,000.86
  4. Step 4: Simplify right side
    322,290.56x = 466,490,173,906.99
  5. Step 5: Solve for x
    x = 466,490,173,906.99/322,290.56
  6. Step 6: Final answer
    x = 1,447,421.14

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.