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Finding the Third Proportional to 485,364 and 734,838

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Solution

The third proportional to 485,364 and 734,838 is: 1,112,540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,364 : 734,838 = 734,838 : x
  2. Step 2: Convert to fraction form
    485,364/734,838 = 734,838/x
  3. Step 3: Cross multiply
    485,364x = 734,838 × 734,838
  4. Step 4: Simplify right side
    485,364x = 539,986,886,244
  5. Step 5: Solve for x
    x = 539,986,886,244/485,364
  6. Step 6: Final answer
    x = 1,112,540.04

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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.