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Finding the Third Proportional to 319,293 and 464,899

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Solution

The third proportional to 319,293 and 464,899 is: 676,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,293 : 464,899 = 464,899 : x
  2. Step 2: Convert to fraction form
    319,293/464,899 = 464,899/x
  3. Step 3: Cross multiply
    319,293x = 464,899 × 464,899
  4. Step 4: Simplify right side
    319,293x = 216,131,080,201
  5. Step 5: Solve for x
    x = 216,131,080,201/319,293
  6. Step 6: Final answer
    x = 676,905.16

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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.