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Finding the Third Proportional to 362,009.25 and 542,315.25

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Solution

The third proportional to 362,009.25 and 542,315.25 is: 812,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,009.25 : 542,315.25 = 542,315.25 : x
  2. Step 2: Convert to fraction form
    362,009.25/542,315.25 = 542,315.25/x
  3. Step 3: Cross multiply
    362,009.25x = 542,315.25 × 542,315.25
  4. Step 4: Simplify right side
    362,009.25x = 294,105,830,382.56
  5. Step 5: Solve for x
    x = 294,105,830,382.56/362,009.25
  6. Step 6: Final answer
    x = 812,426.29

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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.