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Finding the Third Proportional to 330,957 and 714,388.50

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Solution

The third proportional to 330,957 and 714,388.50 is: 1,542,046.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,957 : 714,388.50 = 714,388.50 : x
  2. Step 2: Convert to fraction form
    330,957/714,388.50 = 714,388.50/x
  3. Step 3: Cross multiply
    330,957x = 714,388.50 × 714,388.50
  4. Step 4: Simplify right side
    330,957x = 510,350,928,932.25
  5. Step 5: Solve for x
    x = 510,350,928,932.25/330,957
  6. Step 6: Final answer
    x = 1,542,046.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.