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Finding the Third Proportional to 355,773 and 770,592

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Solution

The third proportional to 355,773 and 770,592 is: 1,669,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,773 : 770,592 = 770,592 : x
  2. Step 2: Convert to fraction form
    355,773/770,592 = 770,592/x
  3. Step 3: Cross multiply
    355,773x = 770,592 × 770,592
  4. Step 4: Simplify right side
    355,773x = 593,812,030,464
  5. Step 5: Solve for x
    x = 593,812,030,464/355,773
  6. Step 6: Final answer
    x = 1,669,075.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.