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Finding the Third Proportional to 459,954 and 644,532.75

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Solution

The third proportional to 459,954 and 644,532.75 is: 903,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,954 : 644,532.75 = 644,532.75 : x
  2. Step 2: Convert to fraction form
    459,954/644,532.75 = 644,532.75/x
  3. Step 3: Cross multiply
    459,954x = 644,532.75 × 644,532.75
  4. Step 4: Simplify right side
    459,954x = 415,422,465,822.56
  5. Step 5: Solve for x
    x = 415,422,465,822.56/459,954
  6. Step 6: Final answer
    x = 903,182.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.