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Finding the Third Proportional to 300,531.75 and 468,030.75

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Solution

The third proportional to 300,531.75 and 468,030.75 is: 728,884.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,531.75 : 468,030.75 = 468,030.75 : x
  2. Step 2: Convert to fraction form
    300,531.75/468,030.75 = 468,030.75/x
  3. Step 3: Cross multiply
    300,531.75x = 468,030.75 × 468,030.75
  4. Step 4: Simplify right side
    300,531.75x = 219,052,782,945.56
  5. Step 5: Solve for x
    x = 219,052,782,945.56/300,531.75
  6. Step 6: Final answer
    x = 728,884.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.