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Finding the Third Proportional to 302,708 and 642,313.50

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Solution

The third proportional to 302,708 and 642,313.50 is: 1,362,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,708 : 642,313.50 = 642,313.50 : x
  2. Step 2: Convert to fraction form
    302,708/642,313.50 = 642,313.50/x
  3. Step 3: Cross multiply
    302,708x = 642,313.50 × 642,313.50
  4. Step 4: Simplify right side
    302,708x = 412,566,632,282.25
  5. Step 5: Solve for x
    x = 412,566,632,282.25/302,708
  6. Step 6: Final answer
    x = 1,362,919.49

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.