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Finding the Third Proportional to 417,069 and 863,682.75

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Solution

The third proportional to 417,069 and 863,682.75 is: 1,788,547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,069 : 863,682.75 = 863,682.75 : x
  2. Step 2: Convert to fraction form
    417,069/863,682.75 = 863,682.75/x
  3. Step 3: Cross multiply
    417,069x = 863,682.75 × 863,682.75
  4. Step 4: Simplify right side
    417,069x = 745,947,892,647.56
  5. Step 5: Solve for x
    x = 745,947,892,647.56/417,069
  6. Step 6: Final answer
    x = 1,788,547.92

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.