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Finding the Third Proportional to 345,711 and 750,462

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Solution

The third proportional to 345,711 and 750,462 is: 1,629,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,711 : 750,462 = 750,462 : x
  2. Step 2: Convert to fraction form
    345,711/750,462 = 750,462/x
  3. Step 3: Cross multiply
    345,711x = 750,462 × 750,462
  4. Step 4: Simplify right side
    345,711x = 563,193,213,444
  5. Step 5: Solve for x
    x = 563,193,213,444/345,711
  6. Step 6: Final answer
    x = 1,629,086.76

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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.