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Finding the Third Proportional to 264,384 and 515,484

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Solution

The third proportional to 264,384 and 515,484 is: 1,005,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,384 : 515,484 = 515,484 : x
  2. Step 2: Convert to fraction form
    264,384/515,484 = 515,484/x
  3. Step 3: Cross multiply
    264,384x = 515,484 × 515,484
  4. Step 4: Simplify right side
    264,384x = 265,723,754,256
  5. Step 5: Solve for x
    x = 265,723,754,256/264,384
  6. Step 6: Final answer
    x = 1,005,067.46

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.