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Finding the Third Proportional to 310,852.69 and 480,016.13

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Solution

The third proportional to 310,852.69 and 480,016.13 is: 741,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,852.69 : 480,016.13 = 480,016.13 : x
  2. Step 2: Convert to fraction form
    310,852.69/480,016.13 = 480,016.13/x
  3. Step 3: Cross multiply
    310,852.69x = 480,016.13 × 480,016.13
  4. Step 4: Simplify right side
    310,852.69x = 230,415,480,260.02
  5. Step 5: Solve for x
    x = 230,415,480,260.02/310,852.69
  6. Step 6: Final answer
    x = 741,236.89

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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.