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Finding the Third Proportional to 350,168 and 768,414

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Solution

The third proportional to 350,168 and 768,414 is: 1,686,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,168 : 768,414 = 768,414 : x
  2. Step 2: Convert to fraction form
    350,168/768,414 = 768,414/x
  3. Step 3: Cross multiply
    350,168x = 768,414 × 768,414
  4. Step 4: Simplify right side
    350,168x = 590,460,075,396
  5. Step 5: Solve for x
    x = 590,460,075,396/350,168
  6. Step 6: Final answer
    x = 1,686,219.40

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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.