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Finding the Third Proportional to 303,828.13 and 654,759

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Solution

The third proportional to 303,828.13 and 654,759 is: 1,411,025.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,828.13 : 654,759 = 654,759 : x
  2. Step 2: Convert to fraction form
    303,828.13/654,759 = 654,759/x
  3. Step 3: Cross multiply
    303,828.13x = 654,759 × 654,759
  4. Step 4: Simplify right side
    303,828.13x = 428,709,348,081
  5. Step 5: Solve for x
    x = 428,709,348,081/303,828.13
  6. Step 6: Final answer
    x = 1,411,025.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.