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Finding the Third Proportional to 303,111 and 463,873.50

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Solution

The third proportional to 303,111 and 463,873.50 is: 709,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,111 : 463,873.50 = 463,873.50 : x
  2. Step 2: Convert to fraction form
    303,111/463,873.50 = 463,873.50/x
  3. Step 3: Cross multiply
    303,111x = 463,873.50 × 463,873.50
  4. Step 4: Simplify right side
    303,111x = 215,178,624,002.25
  5. Step 5: Solve for x
    x = 215,178,624,002.25/303,111
  6. Step 6: Final answer
    x = 709,900.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.