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Finding the Third Proportional to 345,708 and 750,456

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Solution

The third proportional to 345,708 and 750,456 is: 1,629,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,708 : 750,456 = 750,456 : x
  2. Step 2: Convert to fraction form
    345,708/750,456 = 750,456/x
  3. Step 3: Cross multiply
    345,708x = 750,456 × 750,456
  4. Step 4: Simplify right side
    345,708x = 563,184,207,936
  5. Step 5: Solve for x
    x = 563,184,207,936/345,708
  6. Step 6: Final answer
    x = 1,629,074.85

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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.