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Finding the Third Proportional to 297,889.88 and 449,616

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Solution

The third proportional to 297,889.88 and 449,616 is: 678,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,889.88 : 449,616 = 449,616 : x
  2. Step 2: Convert to fraction form
    297,889.88/449,616 = 449,616/x
  3. Step 3: Cross multiply
    297,889.88x = 449,616 × 449,616
  4. Step 4: Simplify right side
    297,889.88x = 202,154,547,456
  5. Step 5: Solve for x
    x = 202,154,547,456/297,889.88
  6. Step 6: Final answer
    x = 678,621.75

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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.