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Finding the Third Proportional to 303,419 and 460,664

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Solution

The third proportional to 303,419 and 460,664 is: 699,400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,419 : 460,664 = 460,664 : x
  2. Step 2: Convert to fraction form
    303,419/460,664 = 460,664/x
  3. Step 3: Cross multiply
    303,419x = 460,664 × 460,664
  4. Step 4: Simplify right side
    303,419x = 212,211,320,896
  5. Step 5: Solve for x
    x = 212,211,320,896/303,419
  6. Step 6: Final answer
    x = 699,400.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.