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Finding the Third Proportional to 453,201.75 and 613,323

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Solution

The third proportional to 453,201.75 and 613,323 is: 830,016.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,201.75 : 613,323 = 613,323 : x
  2. Step 2: Convert to fraction form
    453,201.75/613,323 = 613,323/x
  3. Step 3: Cross multiply
    453,201.75x = 613,323 × 613,323
  4. Step 4: Simplify right side
    453,201.75x = 376,165,102,329
  5. Step 5: Solve for x
    x = 376,165,102,329/453,201.75
  6. Step 6: Final answer
    x = 830,016.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.