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Finding the Third Proportional to 303,709 and 607,058

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Solution

The third proportional to 303,709 and 607,058 is: 1,213,396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,709 : 607,058 = 607,058 : x
  2. Step 2: Convert to fraction form
    303,709/607,058 = 607,058/x
  3. Step 3: Cross multiply
    303,709x = 607,058 × 607,058
  4. Step 4: Simplify right side
    303,709x = 368,519,415,364
  5. Step 5: Solve for x
    x = 368,519,415,364/303,709
  6. Step 6: Final answer
    x = 1,213,396.43

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.