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Finding the Third Proportional to 605,205 and 890,284.50

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Solution

The third proportional to 605,205 and 890,284.50 is: 1,309,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,205 : 890,284.50 = 890,284.50 : x
  2. Step 2: Convert to fraction form
    605,205/890,284.50 = 890,284.50/x
  3. Step 3: Cross multiply
    605,205x = 890,284.50 × 890,284.50
  4. Step 4: Simplify right side
    605,205x = 792,606,490,940.25
  5. Step 5: Solve for x
    x = 792,606,490,940.25/605,205
  6. Step 6: Final answer
    x = 1,309,649.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.