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Finding the Third Proportional to 600,941 and 899,539.50

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Solution

The third proportional to 600,941 and 899,539.50 is: 1,346,507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,941 : 899,539.50 = 899,539.50 : x
  2. Step 2: Convert to fraction form
    600,941/899,539.50 = 899,539.50/x
  3. Step 3: Cross multiply
    600,941x = 899,539.50 × 899,539.50
  4. Step 4: Simplify right side
    600,941x = 809,171,312,060.25
  5. Step 5: Solve for x
    x = 809,171,312,060.25/600,941
  6. Step 6: Final answer
    x = 1,346,507.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.