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Finding the Third Proportional to 384,351.75 and 841,096.50

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Solution

The third proportional to 384,351.75 and 841,096.50 is: 1,840,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,351.75 : 841,096.50 = 841,096.50 : x
  2. Step 2: Convert to fraction form
    384,351.75/841,096.50 = 841,096.50/x
  3. Step 3: Cross multiply
    384,351.75x = 841,096.50 × 841,096.50
  4. Step 4: Simplify right side
    384,351.75x = 707,443,322,312.25
  5. Step 5: Solve for x
    x = 707,443,322,312.25/384,351.75
  6. Step 6: Final answer
    x = 1,840,614.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.