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Finding the Third Proportional to 313,293 and 456,546

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Solution

The third proportional to 313,293 and 456,546 is: 665,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,293 : 456,546 = 456,546 : x
  2. Step 2: Convert to fraction form
    313,293/456,546 = 456,546/x
  3. Step 3: Cross multiply
    313,293x = 456,546 × 456,546
  4. Step 4: Simplify right side
    313,293x = 208,434,250,116
  5. Step 5: Solve for x
    x = 208,434,250,116/313,293
  6. Step 6: Final answer
    x = 665,301.33

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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.