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Finding the Third Proportional to 290,274.75 and 448,354.75

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Solution

The third proportional to 290,274.75 and 448,354.75 is: 692,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,274.75 : 448,354.75 = 448,354.75 : x
  2. Step 2: Convert to fraction form
    290,274.75/448,354.75 = 448,354.75/x
  3. Step 3: Cross multiply
    290,274.75x = 448,354.75 × 448,354.75
  4. Step 4: Simplify right side
    290,274.75x = 201,021,981,847.56
  5. Step 5: Solve for x
    x = 201,021,981,847.56/290,274.75
  6. Step 6: Final answer
    x = 692,523.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.