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Finding the Third Proportional to 362,118 and 532,078.50

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Solution

The third proportional to 362,118 and 532,078.50 is: 781,810.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,118 : 532,078.50 = 532,078.50 : x
  2. Step 2: Convert to fraction form
    362,118/532,078.50 = 532,078.50/x
  3. Step 3: Cross multiply
    362,118x = 532,078.50 × 532,078.50
  4. Step 4: Simplify right side
    362,118x = 283,107,530,162.25
  5. Step 5: Solve for x
    x = 283,107,530,162.25/362,118
  6. Step 6: Final answer
    x = 781,810.16

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.