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Finding the Third Proportional to 602,019 and 933,169.50

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Solution

The third proportional to 602,019 and 933,169.50 is: 1,446,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,019 : 933,169.50 = 933,169.50 : x
  2. Step 2: Convert to fraction form
    602,019/933,169.50 = 933,169.50/x
  3. Step 3: Cross multiply
    602,019x = 933,169.50 × 933,169.50
  4. Step 4: Simplify right side
    602,019x = 870,805,315,730.25
  5. Step 5: Solve for x
    x = 870,805,315,730.25/602,019
  6. Step 6: Final answer
    x = 1,446,474.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.