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Finding the Third Proportional to 449,185 and 657,056.75

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Solution

The third proportional to 449,185 and 657,056.75 is: 961,126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,185 : 657,056.75 = 657,056.75 : x
  2. Step 2: Convert to fraction form
    449,185/657,056.75 = 657,056.75/x
  3. Step 3: Cross multiply
    449,185x = 657,056.75 × 657,056.75
  4. Step 4: Simplify right side
    449,185x = 431,723,572,720.56
  5. Step 5: Solve for x
    x = 431,723,572,720.56/449,185
  6. Step 6: Final answer
    x = 961,126.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.