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Finding the Third Proportional to 362,366 and 542,685

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Solution

The third proportional to 362,366 and 542,685 is: 812,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,366 : 542,685 = 542,685 : x
  2. Step 2: Convert to fraction form
    362,366/542,685 = 542,685/x
  3. Step 3: Cross multiply
    362,366x = 542,685 × 542,685
  4. Step 4: Simplify right side
    362,366x = 294,507,009,225
  5. Step 5: Solve for x
    x = 294,507,009,225/362,366
  6. Step 6: Final answer
    x = 812,733.56

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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.