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Finding the Third Proportional to 350,746 and 760,512

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Solution

The third proportional to 350,746 and 760,512 is: 1,648,995.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,746 : 760,512 = 760,512 : x
  2. Step 2: Convert to fraction form
    350,746/760,512 = 760,512/x
  3. Step 3: Cross multiply
    350,746x = 760,512 × 760,512
  4. Step 4: Simplify right side
    350,746x = 578,378,502,144
  5. Step 5: Solve for x
    x = 578,378,502,144/350,746
  6. Step 6: Final answer
    x = 1,648,995.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.