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Finding the Third Proportional to 348,759 and 525,703.50

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Solution

The third proportional to 348,759 and 525,703.50 is: 792,421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,759 : 525,703.50 = 525,703.50 : x
  2. Step 2: Convert to fraction form
    348,759/525,703.50 = 525,703.50/x
  3. Step 3: Cross multiply
    348,759x = 525,703.50 × 525,703.50
  4. Step 4: Simplify right side
    348,759x = 276,364,169,912.25
  5. Step 5: Solve for x
    x = 276,364,169,912.25/348,759
  6. Step 6: Final answer
    x = 792,421.61

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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.