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Finding the Third Proportional to 262,986.75 and 372,124.13

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Solution

The third proportional to 262,986.75 and 372,124.13 is: 526,552.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,986.75 : 372,124.13 = 372,124.13 : x
  2. Step 2: Convert to fraction form
    262,986.75/372,124.13 = 372,124.13/x
  3. Step 3: Cross multiply
    262,986.75x = 372,124.13 × 372,124.13
  4. Step 4: Simplify right side
    262,986.75x = 138,476,364,407.02
  5. Step 5: Solve for x
    x = 138,476,364,407.02/262,986.75
  6. Step 6: Final answer
    x = 526,552.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.