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Finding the Third Proportional to 194,444 and 424,024

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Solution

The third proportional to 194,444 and 424,024 is: 924,669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,444 : 424,024 = 424,024 : x
  2. Step 2: Convert to fraction form
    194,444/424,024 = 424,024/x
  3. Step 3: Cross multiply
    194,444x = 424,024 × 424,024
  4. Step 4: Simplify right side
    194,444x = 179,796,352,576
  5. Step 5: Solve for x
    x = 179,796,352,576/194,444
  6. Step 6: Final answer
    x = 924,669.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.