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Finding the Third Proportional to 350,496 and 760,041

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Solution

The third proportional to 350,496 and 760,041 is: 1,648,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,496 : 760,041 = 760,041 : x
  2. Step 2: Convert to fraction form
    350,496/760,041 = 760,041/x
  3. Step 3: Cross multiply
    350,496x = 760,041 × 760,041
  4. Step 4: Simplify right side
    350,496x = 577,662,321,681
  5. Step 5: Solve for x
    x = 577,662,321,681/350,496
  6. Step 6: Final answer
    x = 1,648,128.14

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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.