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Finding the Third Proportional to 228,426 and 363,759

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Solution

The third proportional to 228,426 and 363,759 is: 579,271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,426 : 363,759 = 363,759 : x
  2. Step 2: Convert to fraction form
    228,426/363,759 = 363,759/x
  3. Step 3: Cross multiply
    228,426x = 363,759 × 363,759
  4. Step 4: Simplify right side
    228,426x = 132,320,610,081
  5. Step 5: Solve for x
    x = 132,320,610,081/228,426
  6. Step 6: Final answer
    x = 579,271.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.