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Finding the Third Proportional to 290,092 and 443,724

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Solution

The third proportional to 290,092 and 443,724 is: 678,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,092 : 443,724 = 443,724 : x
  2. Step 2: Convert to fraction form
    290,092/443,724 = 443,724/x
  3. Step 3: Cross multiply
    290,092x = 443,724 × 443,724
  4. Step 4: Simplify right side
    290,092x = 196,890,988,176
  5. Step 5: Solve for x
    x = 196,890,988,176/290,092
  6. Step 6: Final answer
    x = 678,719.12

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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.