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Finding the Third Proportional to 330,614 and 713,704

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Solution

The third proportional to 330,614 and 713,704 is: 1,540,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,614 : 713,704 = 713,704 : x
  2. Step 2: Convert to fraction form
    330,614/713,704 = 713,704/x
  3. Step 3: Cross multiply
    330,614x = 713,704 × 713,704
  4. Step 4: Simplify right side
    330,614x = 509,373,399,616
  5. Step 5: Solve for x
    x = 509,373,399,616/330,614
  6. Step 6: Final answer
    x = 1,540,689.14

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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.