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Finding the Third Proportional to 348,833 and 525,805

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Solution

The third proportional to 348,833 and 525,805 is: 792,559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,833 : 525,805 = 525,805 : x
  2. Step 2: Convert to fraction form
    348,833/525,805 = 525,805/x
  3. Step 3: Cross multiply
    348,833x = 525,805 × 525,805
  4. Step 4: Simplify right side
    348,833x = 276,470,898,025
  5. Step 5: Solve for x
    x = 276,470,898,025/348,833
  6. Step 6: Final answer
    x = 792,559.47

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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.