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Finding the Third Proportional to 328,095 and 469,175

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Solution

The third proportional to 328,095 and 469,175 is: 670,919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,095 : 469,175 = 469,175 : x
  2. Step 2: Convert to fraction form
    328,095/469,175 = 469,175/x
  3. Step 3: Cross multiply
    328,095x = 469,175 × 469,175
  4. Step 4: Simplify right side
    328,095x = 220,125,180,625
  5. Step 5: Solve for x
    x = 220,125,180,625/328,095
  6. Step 6: Final answer
    x = 670,919.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.