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Finding the Third Proportional to 289,470.75 and 413,565.75

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Solution

The third proportional to 289,470.75 and 413,565.75 is: 590,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,470.75 : 413,565.75 = 413,565.75 : x
  2. Step 2: Convert to fraction form
    289,470.75/413,565.75 = 413,565.75/x
  3. Step 3: Cross multiply
    289,470.75x = 413,565.75 × 413,565.75
  4. Step 4: Simplify right side
    289,470.75x = 171,036,629,573.06
  5. Step 5: Solve for x
    x = 171,036,629,573.06/289,470.75
  6. Step 6: Final answer
    x = 590,859.80

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