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Finding the Third Proportional to 348,732 and 525,663

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Solution

The third proportional to 348,732 and 525,663 is: 792,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,732 : 525,663 = 525,663 : x
  2. Step 2: Convert to fraction form
    348,732/525,663 = 525,663/x
  3. Step 3: Cross multiply
    348,732x = 525,663 × 525,663
  4. Step 4: Simplify right side
    348,732x = 276,321,589,569
  5. Step 5: Solve for x
    x = 276,321,589,569/348,732
  6. Step 6: Final answer
    x = 792,360.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.