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Finding the Third Proportional to 354,652 and 531,972

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Solution

The third proportional to 354,652 and 531,972 is: 797,949.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,652 : 531,972 = 531,972 : x
  2. Step 2: Convert to fraction form
    354,652/531,972 = 531,972/x
  3. Step 3: Cross multiply
    354,652x = 531,972 × 531,972
  4. Step 4: Simplify right side
    354,652x = 282,994,208,784
  5. Step 5: Solve for x
    x = 282,994,208,784/354,652
  6. Step 6: Final answer
    x = 797,949.00

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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.