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Finding the Third Proportional to 421,982.75 and 924,007.38

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Solution

The third proportional to 421,982.75 and 924,007.38 is: 2,023,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,982.75 : 924,007.38 = 924,007.38 : x
  2. Step 2: Convert to fraction form
    421,982.75/924,007.38 = 924,007.38/x
  3. Step 3: Cross multiply
    421,982.75x = 924,007.38 × 924,007.38
  4. Step 4: Simplify right side
    421,982.75x = 853,789,629,054.39
  5. Step 5: Solve for x
    x = 853,789,629,054.39/421,982.75
  6. Step 6: Final answer
    x = 2,023,280.88

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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.