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Finding the Third Proportional to 373,455 and 574,025

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Solution

The third proportional to 373,455 and 574,025 is: 882,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,455 : 574,025 = 574,025 : x
  2. Step 2: Convert to fraction form
    373,455/574,025 = 574,025/x
  3. Step 3: Cross multiply
    373,455x = 574,025 × 574,025
  4. Step 4: Simplify right side
    373,455x = 329,504,700,625
  5. Step 5: Solve for x
    x = 329,504,700,625/373,455
  6. Step 6: Final answer
    x = 882,314.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.