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Finding the Third Proportional to 309,717 and 685,762.03

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Solution

The third proportional to 309,717 and 685,762.03 is: 1,518,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,717 : 685,762.03 = 685,762.03 : x
  2. Step 2: Convert to fraction form
    309,717/685,762.03 = 685,762.03/x
  3. Step 3: Cross multiply
    309,717x = 685,762.03 × 685,762.03
  4. Step 4: Simplify right side
    309,717x = 470,269,563,504.13
  5. Step 5: Solve for x
    x = 470,269,563,504.13/309,717
  6. Step 6: Final answer
    x = 1,518,384.73

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.