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Finding the Third Proportional to 304,434.50 and 489,175

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Solution

The third proportional to 304,434.50 and 489,175 is: 786,021.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,434.50 : 489,175 = 489,175 : x
  2. Step 2: Convert to fraction form
    304,434.50/489,175 = 489,175/x
  3. Step 3: Cross multiply
    304,434.50x = 489,175 × 489,175
  4. Step 4: Simplify right side
    304,434.50x = 239,292,180,625
  5. Step 5: Solve for x
    x = 239,292,180,625/304,434.50
  6. Step 6: Final answer
    x = 786,021.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.