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Finding the Third Proportional to 461,580.50 and 677,393

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Solution

The third proportional to 461,580.50 and 677,393 is: 994,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,580.50 : 677,393 = 677,393 : x
  2. Step 2: Convert to fraction form
    461,580.50/677,393 = 677,393/x
  3. Step 3: Cross multiply
    461,580.50x = 677,393 × 677,393
  4. Step 4: Simplify right side
    461,580.50x = 458,861,276,449
  5. Step 5: Solve for x
    x = 458,861,276,449/461,580.50
  6. Step 6: Final answer
    x = 994,108.89

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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.