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Finding the Third Proportional to 354,654 and 531,975

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Solution

The third proportional to 354,654 and 531,975 is: 797,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,654 : 531,975 = 531,975 : x
  2. Step 2: Convert to fraction form
    354,654/531,975 = 531,975/x
  3. Step 3: Cross multiply
    354,654x = 531,975 × 531,975
  4. Step 4: Simplify right side
    354,654x = 282,997,400,625
  5. Step 5: Solve for x
    x = 282,997,400,625/354,654
  6. Step 6: Final answer
    x = 797,953.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.