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Finding the Third Proportional to 383,628 and 601,788

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Solution

The third proportional to 383,628 and 601,788 is: 944,010.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,628 : 601,788 = 601,788 : x
  2. Step 2: Convert to fraction form
    383,628/601,788 = 601,788/x
  3. Step 3: Cross multiply
    383,628x = 601,788 × 601,788
  4. Step 4: Simplify right side
    383,628x = 362,148,796,944
  5. Step 5: Solve for x
    x = 362,148,796,944/383,628
  6. Step 6: Final answer
    x = 944,010.34

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.