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Finding the Third Proportional to 427,938.75 and 903,615.75

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Solution

The third proportional to 427,938.75 and 903,615.75 is: 1,908,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,938.75 : 903,615.75 = 903,615.75 : x
  2. Step 2: Convert to fraction form
    427,938.75/903,615.75 = 903,615.75/x
  3. Step 3: Cross multiply
    427,938.75x = 903,615.75 × 903,615.75
  4. Step 4: Simplify right side
    427,938.75x = 816,521,423,648.06
  5. Step 5: Solve for x
    x = 816,521,423,648.06/427,938.75
  6. Step 6: Final answer
    x = 1,908,033.39

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.