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Finding the Third Proportional to 228,309 and 363,605

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Solution

The third proportional to 228,309 and 363,605 is: 579,077.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,309 : 363,605 = 363,605 : x
  2. Step 2: Convert to fraction form
    228,309/363,605 = 363,605/x
  3. Step 3: Cross multiply
    228,309x = 363,605 × 363,605
  4. Step 4: Simplify right side
    228,309x = 132,208,596,025
  5. Step 5: Solve for x
    x = 132,208,596,025/228,309
  6. Step 6: Final answer
    x = 579,077.46

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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.