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Finding the Third Proportional to 434,465.25 and 908,655.75

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Solution

The third proportional to 434,465.25 and 908,655.75 is: 1,900,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,465.25 : 908,655.75 = 908,655.75 : x
  2. Step 2: Convert to fraction form
    434,465.25/908,655.75 = 908,655.75/x
  3. Step 3: Cross multiply
    434,465.25x = 908,655.75 × 908,655.75
  4. Step 4: Simplify right side
    434,465.25x = 825,655,272,008.06
  5. Step 5: Solve for x
    x = 825,655,272,008.06/434,465.25
  6. Step 6: Final answer
    x = 1,900,394.27

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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.