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Finding the Third Proportional to 449,047.13 and 671,797.13

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Solution

The third proportional to 449,047.13 and 671,797.13 is: 1,005,042.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,047.13 : 671,797.13 = 671,797.13 : x
  2. Step 2: Convert to fraction form
    449,047.13/671,797.13 = 671,797.13/x
  3. Step 3: Cross multiply
    449,047.13x = 671,797.13 × 671,797.13
  4. Step 4: Simplify right side
    449,047.13x = 451,311,377,158.27
  5. Step 5: Solve for x
    x = 451,311,377,158.27/449,047.13
  6. Step 6: Final answer
    x = 1,005,042.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.