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Finding the Third Proportional to 455,112 and 655,546.50

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Solution

The third proportional to 455,112 and 655,546.50 is: 944,253.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,112 : 655,546.50 = 655,546.50 : x
  2. Step 2: Convert to fraction form
    455,112/655,546.50 = 655,546.50/x
  3. Step 3: Cross multiply
    455,112x = 655,546.50 × 655,546.50
  4. Step 4: Simplify right side
    455,112x = 429,741,213,662.25
  5. Step 5: Solve for x
    x = 429,741,213,662.25/455,112
  6. Step 6: Final answer
    x = 944,253.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.