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Finding the Third Proportional to 354,462 and 531,693

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Solution

The third proportional to 354,462 and 531,693 is: 797,539.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,462 : 531,693 = 531,693 : x
  2. Step 2: Convert to fraction form
    354,462/531,693 = 531,693/x
  3. Step 3: Cross multiply
    354,462x = 531,693 × 531,693
  4. Step 4: Simplify right side
    354,462x = 282,697,446,249
  5. Step 5: Solve for x
    x = 282,697,446,249/354,462
  6. Step 6: Final answer
    x = 797,539.50

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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.