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Finding the Third Proportional to 350,020 and 528,234

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Solution

The third proportional to 350,020 and 528,234 is: 797,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,020 : 528,234 = 528,234 : x
  2. Step 2: Convert to fraction form
    350,020/528,234 = 528,234/x
  3. Step 3: Cross multiply
    350,020x = 528,234 × 528,234
  4. Step 4: Simplify right side
    350,020x = 279,031,158,756
  5. Step 5: Solve for x
    x = 279,031,158,756/350,020
  6. Step 6: Final answer
    x = 797,186.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.