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Finding the Third Proportional to 427,551.75 and 907,575.75

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Solution

The third proportional to 427,551.75 and 907,575.75 is: 1,926,535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,551.75 : 907,575.75 = 907,575.75 : x
  2. Step 2: Convert to fraction form
    427,551.75/907,575.75 = 907,575.75/x
  3. Step 3: Cross multiply
    427,551.75x = 907,575.75 × 907,575.75
  4. Step 4: Simplify right side
    427,551.75x = 823,693,741,988.06
  5. Step 5: Solve for x
    x = 823,693,741,988.06/427,551.75
  6. Step 6: Final answer
    x = 1,926,535.77

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.