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Finding the Third Proportional to 236,572 and 354,506

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Solution

The third proportional to 236,572 and 354,506 is: 531,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,572 : 354,506 = 354,506 : x
  2. Step 2: Convert to fraction form
    236,572/354,506 = 354,506/x
  3. Step 3: Cross multiply
    236,572x = 354,506 × 354,506
  4. Step 4: Simplify right side
    236,572x = 125,674,504,036
  5. Step 5: Solve for x
    x = 125,674,504,036/236,572
  6. Step 6: Final answer
    x = 531,231.52

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