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Finding the Third Proportional to 330,594 and 491,030

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Solution

The third proportional to 330,594 and 491,030 is: 729,324.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,594 : 491,030 = 491,030 : x
  2. Step 2: Convert to fraction form
    330,594/491,030 = 491,030/x
  3. Step 3: Cross multiply
    330,594x = 491,030 × 491,030
  4. Step 4: Simplify right side
    330,594x = 241,110,460,900
  5. Step 5: Solve for x
    x = 241,110,460,900/330,594
  6. Step 6: Final answer
    x = 729,324.98

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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.