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Finding the Third Proportional to 350,496 and 765,855

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Solution

The third proportional to 350,496 and 765,855 is: 1,673,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,496 : 765,855 = 765,855 : x
  2. Step 2: Convert to fraction form
    350,496/765,855 = 765,855/x
  3. Step 3: Cross multiply
    350,496x = 765,855 × 765,855
  4. Step 4: Simplify right side
    350,496x = 586,533,881,025
  5. Step 5: Solve for x
    x = 586,533,881,025/350,496
  6. Step 6: Final answer
    x = 1,673,439.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.