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Finding the Third Proportional to 362,013 and 542,321

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Solution

The third proportional to 362,013 and 542,321 is: 812,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,013 : 542,321 = 542,321 : x
  2. Step 2: Convert to fraction form
    362,013/542,321 = 542,321/x
  3. Step 3: Cross multiply
    362,013x = 542,321 × 542,321
  4. Step 4: Simplify right side
    362,013x = 294,112,067,041
  5. Step 5: Solve for x
    x = 294,112,067,041/362,013
  6. Step 6: Final answer
    x = 812,435.10

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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.