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Finding the Third Proportional to 384,828.75 and 890,781.75

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Solution

The third proportional to 384,828.75 and 890,781.75 is: 2,061,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,828.75 : 890,781.75 = 890,781.75 : x
  2. Step 2: Convert to fraction form
    384,828.75/890,781.75 = 890,781.75/x
  3. Step 3: Cross multiply
    384,828.75x = 890,781.75 × 890,781.75
  4. Step 4: Simplify right side
    384,828.75x = 793,492,126,133.06
  5. Step 5: Solve for x
    x = 793,492,126,133.06/384,828.75
  6. Step 6: Final answer
    x = 2,061,935.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.