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Finding the Third Proportional to 295,563.94 and 468,087.19

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Solution

The third proportional to 295,563.94 and 468,087.19 is: 741,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,563.94 : 468,087.19 = 468,087.19 : x
  2. Step 2: Convert to fraction form
    295,563.94/468,087.19 = 468,087.19/x
  3. Step 3: Cross multiply
    295,563.94x = 468,087.19 × 468,087.19
  4. Step 4: Simplify right side
    295,563.94x = 219,105,615,101.66
  5. Step 5: Solve for x
    x = 219,105,615,101.66/295,563.94
  6. Step 6: Final answer
    x = 741,313.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.