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Finding the Third Proportional to 330,594 and 491,028

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Solution

The third proportional to 330,594 and 491,028 is: 729,319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,594 : 491,028 = 491,028 : x
  2. Step 2: Convert to fraction form
    330,594/491,028 = 491,028/x
  3. Step 3: Cross multiply
    330,594x = 491,028 × 491,028
  4. Step 4: Simplify right side
    330,594x = 241,108,496,784
  5. Step 5: Solve for x
    x = 241,108,496,784/330,594
  6. Step 6: Final answer
    x = 729,319.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.