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Finding the Third Proportional to 348,496 and 748,832

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Solution

The third proportional to 348,496 and 748,832 is: 1,609,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,496 : 748,832 = 748,832 : x
  2. Step 2: Convert to fraction form
    348,496/748,832 = 748,832/x
  3. Step 3: Cross multiply
    348,496x = 748,832 × 748,832
  4. Step 4: Simplify right side
    348,496x = 560,749,364,224
  5. Step 5: Solve for x
    x = 560,749,364,224/348,496
  6. Step 6: Final answer
    x = 1,609,055.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.