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Finding the Third Proportional to 395,246.25 and 591,786

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Solution

The third proportional to 395,246.25 and 591,786 is: 886,056.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,246.25 : 591,786 = 591,786 : x
  2. Step 2: Convert to fraction form
    395,246.25/591,786 = 591,786/x
  3. Step 3: Cross multiply
    395,246.25x = 591,786 × 591,786
  4. Step 4: Simplify right side
    395,246.25x = 350,210,669,796
  5. Step 5: Solve for x
    x = 350,210,669,796/395,246.25
  6. Step 6: Final answer
    x = 886,056.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.