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Finding the Third Proportional to 289,476.75 and 413,574.75

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Solution

The third proportional to 289,476.75 and 413,574.75 is: 590,873.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,476.75 : 413,574.75 = 413,574.75 : x
  2. Step 2: Convert to fraction form
    289,476.75/413,574.75 = 413,574.75/x
  3. Step 3: Cross multiply
    289,476.75x = 413,574.75 × 413,574.75
  4. Step 4: Simplify right side
    289,476.75x = 171,044,073,837.56
  5. Step 5: Solve for x
    x = 171,044,073,837.56/289,476.75
  6. Step 6: Final answer
    x = 590,873.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.