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Finding the Third Proportional to 329,179.50 and 707,465.25

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Solution

The third proportional to 329,179.50 and 707,465.25 is: 1,520,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,179.50 : 707,465.25 = 707,465.25 : x
  2. Step 2: Convert to fraction form
    329,179.50/707,465.25 = 707,465.25/x
  3. Step 3: Cross multiply
    329,179.50x = 707,465.25 × 707,465.25
  4. Step 4: Simplify right side
    329,179.50x = 500,507,079,957.56
  5. Step 5: Solve for x
    x = 500,507,079,957.56/329,179.50
  6. Step 6: Final answer
    x = 1,520,468.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.