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Finding the Third Proportional to 605,706 and 886,525.50

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Solution

The third proportional to 605,706 and 886,525.50 is: 1,297,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,706 : 886,525.50 = 886,525.50 : x
  2. Step 2: Convert to fraction form
    605,706/886,525.50 = 886,525.50/x
  3. Step 3: Cross multiply
    605,706x = 886,525.50 × 886,525.50
  4. Step 4: Simplify right side
    605,706x = 785,927,462,150.25
  5. Step 5: Solve for x
    x = 785,927,462,150.25/605,706
  6. Step 6: Final answer
    x = 1,297,539.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.