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Finding the Third Proportional to 228,308 and 363,602

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Solution

The third proportional to 228,308 and 363,602 is: 579,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,308 : 363,602 = 363,602 : x
  2. Step 2: Convert to fraction form
    228,308/363,602 = 363,602/x
  3. Step 3: Cross multiply
    228,308x = 363,602 × 363,602
  4. Step 4: Simplify right side
    228,308x = 132,206,414,404
  5. Step 5: Solve for x
    x = 132,206,414,404/228,308
  6. Step 6: Final answer
    x = 579,070.44

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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.