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Finding the Third Proportional to 262,109.25 and 558,562.50

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Solution

The third proportional to 262,109.25 and 558,562.50 is: 1,190,313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,109.25 : 558,562.50 = 558,562.50 : x
  2. Step 2: Convert to fraction form
    262,109.25/558,562.50 = 558,562.50/x
  3. Step 3: Cross multiply
    262,109.25x = 558,562.50 × 558,562.50
  4. Step 4: Simplify right side
    262,109.25x = 311,992,066,406.25
  5. Step 5: Solve for x
    x = 311,992,066,406.25/262,109.25
  6. Step 6: Final answer
    x = 1,190,313.07

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.