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Finding the Third Proportional to 434,480.63 and 908,659.69

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Solution

The third proportional to 434,480.63 and 908,659.69 is: 1,900,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,480.63 : 908,659.69 = 908,659.69 : x
  2. Step 2: Convert to fraction form
    434,480.63/908,659.69 = 908,659.69/x
  3. Step 3: Cross multiply
    434,480.63x = 908,659.69 × 908,659.69
  4. Step 4: Simplify right side
    434,480.63x = 825,662,427,687.60
  5. Step 5: Solve for x
    x = 825,662,427,687.60/434,480.63
  6. Step 6: Final answer
    x = 1,900,343.49

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.