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Finding the Third Proportional to 304,842 and 428,904.75

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Solution

The third proportional to 304,842 and 428,904.75 is: 603,457.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,842 : 428,904.75 = 428,904.75 : x
  2. Step 2: Convert to fraction form
    304,842/428,904.75 = 428,904.75/x
  3. Step 3: Cross multiply
    304,842x = 428,904.75 × 428,904.75
  4. Step 4: Simplify right side
    304,842x = 183,959,284,572.56
  5. Step 5: Solve for x
    x = 183,959,284,572.56/304,842
  6. Step 6: Final answer
    x = 603,457.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.