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Finding the Third Proportional to 434,464.25 and 908,653.50

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Solution

The third proportional to 434,464.25 and 908,653.50 is: 1,900,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,464.25 : 908,653.50 = 908,653.50 : x
  2. Step 2: Convert to fraction form
    434,464.25/908,653.50 = 908,653.50/x
  3. Step 3: Cross multiply
    434,464.25x = 908,653.50 × 908,653.50
  4. Step 4: Simplify right side
    434,464.25x = 825,651,183,062.25
  5. Step 5: Solve for x
    x = 825,651,183,062.25/434,464.25
  6. Step 6: Final answer
    x = 1,900,389.23

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Why These Related Problems?

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