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Finding the Third Proportional to 296,565.50 and 449,006.50

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Solution

The third proportional to 296,565.50 and 449,006.50 is: 679,805.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,565.50 : 449,006.50 = 449,006.50 : x
  2. Step 2: Convert to fraction form
    296,565.50/449,006.50 = 449,006.50/x
  3. Step 3: Cross multiply
    296,565.50x = 449,006.50 × 449,006.50
  4. Step 4: Simplify right side
    296,565.50x = 201,606,837,042.25
  5. Step 5: Solve for x
    x = 201,606,837,042.25/296,565.50
  6. Step 6: Final answer
    x = 679,805.43

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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.