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Finding the Third Proportional to 303,728 and 464,784

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Solution

The third proportional to 303,728 and 464,784 is: 711,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,728 : 464,784 = 464,784 : x
  2. Step 2: Convert to fraction form
    303,728/464,784 = 464,784/x
  3. Step 3: Cross multiply
    303,728x = 464,784 × 464,784
  4. Step 4: Simplify right side
    303,728x = 216,024,166,656
  5. Step 5: Solve for x
    x = 216,024,166,656/303,728
  6. Step 6: Final answer
    x = 711,242.19

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Why These Related Problems?

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