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Finding the Third Proportional to 350,316 and 770,616

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Solution

The third proportional to 350,316 and 770,616 is: 1,695,180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,316 : 770,616 = 770,616 : x
  2. Step 2: Convert to fraction form
    350,316/770,616 = 770,616/x
  3. Step 3: Cross multiply
    350,316x = 770,616 × 770,616
  4. Step 4: Simplify right side
    350,316x = 593,849,019,456
  5. Step 5: Solve for x
    x = 593,849,019,456/350,316
  6. Step 6: Final answer
    x = 1,695,180.98

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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.