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Finding the Third Proportional to 419,266 and 905,275.50

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Solution

The third proportional to 419,266 and 905,275.50 is: 1,954,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,266 : 905,275.50 = 905,275.50 : x
  2. Step 2: Convert to fraction form
    419,266/905,275.50 = 905,275.50/x
  3. Step 3: Cross multiply
    419,266x = 905,275.50 × 905,275.50
  4. Step 4: Simplify right side
    419,266x = 819,523,730,900.25
  5. Step 5: Solve for x
    x = 819,523,730,900.25/419,266
  6. Step 6: Final answer
    x = 1,954,662.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.