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Finding the Third Proportional to 362,011 and 542,318

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Solution

The third proportional to 362,011 and 542,318 is: 812,430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,011 : 542,318 = 542,318 : x
  2. Step 2: Convert to fraction form
    362,011/542,318 = 542,318/x
  3. Step 3: Cross multiply
    362,011x = 542,318 × 542,318
  4. Step 4: Simplify right side
    362,011x = 294,108,813,124
  5. Step 5: Solve for x
    x = 294,108,813,124/362,011
  6. Step 6: Final answer
    x = 812,430.60

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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.