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Finding the Third Proportional to 453,000.75 and 664,275

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Solution

The third proportional to 453,000.75 and 664,275 is: 974,085.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,000.75 : 664,275 = 664,275 : x
  2. Step 2: Convert to fraction form
    453,000.75/664,275 = 664,275/x
  3. Step 3: Cross multiply
    453,000.75x = 664,275 × 664,275
  4. Step 4: Simplify right side
    453,000.75x = 441,261,275,625
  5. Step 5: Solve for x
    x = 441,261,275,625/453,000.75
  6. Step 6: Final answer
    x = 974,085.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.