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Finding the Third Proportional to 350,744 and 760,508

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Solution

The third proportional to 350,744 and 760,508 is: 1,648,987.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,744 : 760,508 = 760,508 : x
  2. Step 2: Convert to fraction form
    350,744/760,508 = 760,508/x
  3. Step 3: Cross multiply
    350,744x = 760,508 × 760,508
  4. Step 4: Simplify right side
    350,744x = 578,372,418,064
  5. Step 5: Solve for x
    x = 578,372,418,064/350,744
  6. Step 6: Final answer
    x = 1,648,987.35

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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.