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Finding the Third Proportional to 362,085 and 548,959.50

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Solution

The third proportional to 362,085 and 548,959.50 is: 832,281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,085 : 548,959.50 = 548,959.50 : x
  2. Step 2: Convert to fraction form
    362,085/548,959.50 = 548,959.50/x
  3. Step 3: Cross multiply
    362,085x = 548,959.50 × 548,959.50
  4. Step 4: Simplify right side
    362,085x = 301,356,532,640.25
  5. Step 5: Solve for x
    x = 301,356,532,640.25/362,085
  6. Step 6: Final answer
    x = 832,281.18

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.