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Finding the Third Proportional to 399,273.75 and 573,927.75

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Solution

The third proportional to 399,273.75 and 573,927.75 is: 824,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,273.75 : 573,927.75 = 573,927.75 : x
  2. Step 2: Convert to fraction form
    399,273.75/573,927.75 = 573,927.75/x
  3. Step 3: Cross multiply
    399,273.75x = 573,927.75 × 573,927.75
  4. Step 4: Simplify right side
    399,273.75x = 329,393,062,220.06
  5. Step 5: Solve for x
    x = 329,393,062,220.06/399,273.75
  6. Step 6: Final answer
    x = 824,980.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.