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Finding the Third Proportional to 353,791 and 777,085

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Solution

The third proportional to 353,791 and 777,085 is: 1,706,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,791 : 777,085 = 777,085 : x
  2. Step 2: Convert to fraction form
    353,791/777,085 = 777,085/x
  3. Step 3: Cross multiply
    353,791x = 777,085 × 777,085
  4. Step 4: Simplify right side
    353,791x = 603,861,097,225
  5. Step 5: Solve for x
    x = 603,861,097,225/353,791
  6. Step 6: Final answer
    x = 1,706,830.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.