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Finding the Third Proportional to 297,961.50 and 382,567.50

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Solution

The third proportional to 297,961.50 and 382,567.50 is: 491,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,961.50 : 382,567.50 = 382,567.50 : x
  2. Step 2: Convert to fraction form
    297,961.50/382,567.50 = 382,567.50/x
  3. Step 3: Cross multiply
    297,961.50x = 382,567.50 × 382,567.50
  4. Step 4: Simplify right side
    297,961.50x = 146,357,892,056.25
  5. Step 5: Solve for x
    x = 146,357,892,056.25/297,961.50
  6. Step 6: Final answer
    x = 491,197.33

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.