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Finding the Third Proportional to 310,734 and 479,838

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Solution

The third proportional to 310,734 and 479,838 is: 740,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,734 : 479,838 = 479,838 : x
  2. Step 2: Convert to fraction form
    310,734/479,838 = 479,838/x
  3. Step 3: Cross multiply
    310,734x = 479,838 × 479,838
  4. Step 4: Simplify right side
    310,734x = 230,244,506,244
  5. Step 5: Solve for x
    x = 230,244,506,244/310,734
  6. Step 6: Final answer
    x = 740,969.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.