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Finding the Third Proportional to 228,664 and 328,841

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Solution

The third proportional to 228,664 and 328,841 is: 472,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,664 : 328,841 = 328,841 : x
  2. Step 2: Convert to fraction form
    228,664/328,841 = 328,841/x
  3. Step 3: Cross multiply
    228,664x = 328,841 × 328,841
  4. Step 4: Simplify right side
    228,664x = 108,136,403,281
  5. Step 5: Solve for x
    x = 108,136,403,281/228,664
  6. Step 6: Final answer
    x = 472,905.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.