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Finding the Third Proportional to 297,889.50 and 449,615.63

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Solution

The third proportional to 297,889.50 and 449,615.63 is: 678,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,889.50 : 449,615.63 = 449,615.63 : x
  2. Step 2: Convert to fraction form
    297,889.50/449,615.63 = 449,615.63/x
  3. Step 3: Cross multiply
    297,889.50x = 449,615.63 × 449,615.63
  4. Step 4: Simplify right side
    297,889.50x = 202,154,210,244.14
  5. Step 5: Solve for x
    x = 202,154,210,244.14/297,889.50
  6. Step 6: Final answer
    x = 678,621.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.