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Finding the Third Proportional to 194,004 and 424,089

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Solution

The third proportional to 194,004 and 424,089 is: 927,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,004 : 424,089 = 424,089 : x
  2. Step 2: Convert to fraction form
    194,004/424,089 = 424,089/x
  3. Step 3: Cross multiply
    194,004x = 424,089 × 424,089
  4. Step 4: Simplify right side
    194,004x = 179,851,479,921
  5. Step 5: Solve for x
    x = 179,851,479,921/194,004
  6. Step 6: Final answer
    x = 927,050.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.