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Finding the Third Proportional to 198,912 and 429,594

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Solution

The third proportional to 198,912 and 429,594 is: 927,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,912 : 429,594 = 429,594 : x
  2. Step 2: Convert to fraction form
    198,912/429,594 = 429,594/x
  3. Step 3: Cross multiply
    198,912x = 429,594 × 429,594
  4. Step 4: Simplify right side
    198,912x = 184,551,004,836
  5. Step 5: Solve for x
    x = 184,551,004,836/198,912
  6. Step 6: Final answer
    x = 927,802.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.