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Finding the Third Proportional to 477,109 and 1,038,369.50

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Solution

The third proportional to 477,109 and 1,038,369.50 is: 2,259,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,109 : 1,038,369.50 = 1,038,369.50 : x
  2. Step 2: Convert to fraction form
    477,109/1,038,369.50 = 1,038,369.50/x
  3. Step 3: Cross multiply
    477,109x = 1,038,369.50 × 1,038,369.50
  4. Step 4: Simplify right side
    477,109x = 1,078,211,218,530.25
  5. Step 5: Solve for x
    x = 1,078,211,218,530.25/477,109
  6. Step 6: Final answer
    x = 2,259,884.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.