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Finding the Third Proportional to 450,015.75 and 633,004.88

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Solution

The third proportional to 450,015.75 and 633,004.88 is: 890,402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,015.75 : 633,004.88 = 633,004.88 : x
  2. Step 2: Convert to fraction form
    450,015.75/633,004.88 = 633,004.88/x
  3. Step 3: Cross multiply
    450,015.75x = 633,004.88 × 633,004.88
  4. Step 4: Simplify right side
    450,015.75x = 400,695,171,773.77
  5. Step 5: Solve for x
    x = 400,695,171,773.77/450,015.75
  6. Step 6: Final answer
    x = 890,402.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.