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Finding the Third Proportional to 436,731.75 and 954,428.06

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Solution

The third proportional to 436,731.75 and 954,428.06 is: 2,085,795.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,731.75 : 954,428.06 = 954,428.06 : x
  2. Step 2: Convert to fraction form
    436,731.75/954,428.06 = 954,428.06/x
  3. Step 3: Cross multiply
    436,731.75x = 954,428.06 × 954,428.06
  4. Step 4: Simplify right side
    436,731.75x = 910,932,926,487.50
  5. Step 5: Solve for x
    x = 910,932,926,487.50/436,731.75
  6. Step 6: Final answer
    x = 2,085,795.06

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Why These Related Problems?

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