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Finding the Third Proportional to 302,463.84 and 464,270.06

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Solution

The third proportional to 302,463.84 and 464,270.06 is: 712,636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,463.84 : 464,270.06 = 464,270.06 : x
  2. Step 2: Convert to fraction form
    302,463.84/464,270.06 = 464,270.06/x
  3. Step 3: Cross multiply
    302,463.84x = 464,270.06 × 464,270.06
  4. Step 4: Simplify right side
    302,463.84x = 215,546,690,933.75
  5. Step 5: Solve for x
    x = 215,546,690,933.75/302,463.84
  6. Step 6: Final answer
    x = 712,636.22

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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.