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Finding the Third Proportional to 325,528.88 and 714,087.56

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Solution

The third proportional to 325,528.88 and 714,087.56 is: 1,566,438.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,528.88 : 714,087.56 = 714,087.56 : x
  2. Step 2: Convert to fraction form
    325,528.88/714,087.56 = 714,087.56/x
  3. Step 3: Cross multiply
    325,528.88x = 714,087.56 × 714,087.56
  4. Step 4: Simplify right side
    325,528.88x = 509,921,046,917.19
  5. Step 5: Solve for x
    x = 509,921,046,917.19/325,528.88
  6. Step 6: Final answer
    x = 1,566,438.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.