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Finding the Third Proportional to 362,013 and 542,319

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Solution

The third proportional to 362,013 and 542,319 is: 812,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,013 : 542,319 = 542,319 : x
  2. Step 2: Convert to fraction form
    362,013/542,319 = 542,319/x
  3. Step 3: Cross multiply
    362,013x = 542,319 × 542,319
  4. Step 4: Simplify right side
    362,013x = 294,109,897,761
  5. Step 5: Solve for x
    x = 294,109,897,761/362,013
  6. Step 6: Final answer
    x = 812,429.11

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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.