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Finding the Third Proportional to 330,592.50 and 491,026.50

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Solution

The third proportional to 330,592.50 and 491,026.50 is: 729,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,592.50 : 491,026.50 = 491,026.50 : x
  2. Step 2: Convert to fraction form
    330,592.50/491,026.50 = 491,026.50/x
  3. Step 3: Cross multiply
    330,592.50x = 491,026.50 × 491,026.50
  4. Step 4: Simplify right side
    330,592.50x = 241,107,023,702.25
  5. Step 5: Solve for x
    x = 241,107,023,702.25/330,592.50
  6. Step 6: Final answer
    x = 729,317.89

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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.