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Finding the Third Proportional to 297,964.50 and 382,572

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Solution

The third proportional to 297,964.50 and 382,572 is: 491,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,964.50 : 382,572 = 382,572 : x
  2. Step 2: Convert to fraction form
    297,964.50/382,572 = 382,572/x
  3. Step 3: Cross multiply
    297,964.50x = 382,572 × 382,572
  4. Step 4: Simplify right side
    297,964.50x = 146,361,335,184
  5. Step 5: Solve for x
    x = 146,361,335,184/297,964.50
  6. Step 6: Final answer
    x = 491,203.94

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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.