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Finding the Third Proportional to 319,296 and 464,904

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Solution

The third proportional to 319,296 and 464,904 is: 676,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,296 : 464,904 = 464,904 : x
  2. Step 2: Convert to fraction form
    319,296/464,904 = 464,904/x
  3. Step 3: Cross multiply
    319,296x = 464,904 × 464,904
  4. Step 4: Simplify right side
    319,296x = 216,135,729,216
  5. Step 5: Solve for x
    x = 216,135,729,216/319,296
  6. Step 6: Final answer
    x = 676,913.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.