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Finding the Third Proportional to 434,458.69 and 957,268.13

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Solution

The third proportional to 434,458.69 and 957,268.13 is: 2,109,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,458.69 : 957,268.13 = 957,268.13 : x
  2. Step 2: Convert to fraction form
    434,458.69/957,268.13 = 957,268.13/x
  3. Step 3: Cross multiply
    434,458.69x = 957,268.13 × 957,268.13
  4. Step 4: Simplify right side
    434,458.69x = 916,362,263,141.02
  5. Step 5: Solve for x
    x = 916,362,263,141.02/434,458.69
  6. Step 6: Final answer
    x = 2,109,204.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.