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Finding the Third Proportional to 348,556 and 763,568

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Solution

The third proportional to 348,556 and 763,568 is: 1,672,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,556 : 763,568 = 763,568 : x
  2. Step 2: Convert to fraction form
    348,556/763,568 = 763,568/x
  3. Step 3: Cross multiply
    348,556x = 763,568 × 763,568
  4. Step 4: Simplify right side
    348,556x = 583,036,090,624
  5. Step 5: Solve for x
    x = 583,036,090,624/348,556
  6. Step 6: Final answer
    x = 1,672,718.56

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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.