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Finding the Third Proportional to 316,608 and 504,864

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Solution

The third proportional to 316,608 and 504,864 is: 805,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,608 : 504,864 = 504,864 : x
  2. Step 2: Convert to fraction form
    316,608/504,864 = 504,864/x
  3. Step 3: Cross multiply
    316,608x = 504,864 × 504,864
  4. Step 4: Simplify right side
    316,608x = 254,887,658,496
  5. Step 5: Solve for x
    x = 254,887,658,496/316,608
  6. Step 6: Final answer
    x = 805,057.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.