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Finding the Third Proportional to 446,314 and 928,728

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Solution

The third proportional to 446,314 and 928,728 is: 1,932,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,314 : 928,728 = 928,728 : x
  2. Step 2: Convert to fraction form
    446,314/928,728 = 928,728/x
  3. Step 3: Cross multiply
    446,314x = 928,728 × 928,728
  4. Step 4: Simplify right side
    446,314x = 862,535,697,984
  5. Step 5: Solve for x
    x = 862,535,697,984/446,314
  6. Step 6: Final answer
    x = 1,932,575.94

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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.