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Finding the Third Proportional to 446,312 and 928,723

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Solution

The third proportional to 446,312 and 928,723 is: 1,932,563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,312 : 928,723 = 928,723 : x
  2. Step 2: Convert to fraction form
    446,312/928,723 = 928,723/x
  3. Step 3: Cross multiply
    446,312x = 928,723 × 928,723
  4. Step 4: Simplify right side
    446,312x = 862,526,410,729
  5. Step 5: Solve for x
    x = 862,526,410,729/446,312
  6. Step 6: Final answer
    x = 1,932,563.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.