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Finding the Third Proportional to 325,842.75 and 503,541.56

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Solution

The third proportional to 325,842.75 and 503,541.56 is: 778,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,842.75 : 503,541.56 = 503,541.56 : x
  2. Step 2: Convert to fraction form
    325,842.75/503,541.56 = 503,541.56/x
  3. Step 3: Cross multiply
    325,842.75x = 503,541.56 × 503,541.56
  4. Step 4: Simplify right side
    325,842.75x = 253,554,105,164.94
  5. Step 5: Solve for x
    x = 253,554,105,164.94/325,842.75
  6. Step 6: Final answer
    x = 778,148.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.