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Finding the Third Proportional to 366,924 and 561,328

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Solution

The third proportional to 366,924 and 561,328 is: 858,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,924 : 561,328 = 561,328 : x
  2. Step 2: Convert to fraction form
    366,924/561,328 = 561,328/x
  3. Step 3: Cross multiply
    366,924x = 561,328 × 561,328
  4. Step 4: Simplify right side
    366,924x = 315,089,123,584
  5. Step 5: Solve for x
    x = 315,089,123,584/366,924
  6. Step 6: Final answer
    x = 858,731.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.