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Finding the Third Proportional to 303,744 and 662,784

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Solution

The third proportional to 303,744 and 662,784 is: 1,446,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,744 : 662,784 = 662,784 : x
  2. Step 2: Convert to fraction form
    303,744/662,784 = 662,784/x
  3. Step 3: Cross multiply
    303,744x = 662,784 × 662,784
  4. Step 4: Simplify right side
    303,744x = 439,282,630,656
  5. Step 5: Solve for x
    x = 439,282,630,656/303,744
  6. Step 6: Final answer
    x = 1,446,226.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.