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Finding the Third Proportional to 275,282 and 416,719.50

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Solution

The third proportional to 275,282 and 416,719.50 is: 630,826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,282 : 416,719.50 = 416,719.50 : x
  2. Step 2: Convert to fraction form
    275,282/416,719.50 = 416,719.50/x
  3. Step 3: Cross multiply
    275,282x = 416,719.50 × 416,719.50
  4. Step 4: Simplify right side
    275,282x = 173,655,141,680.25
  5. Step 5: Solve for x
    x = 173,655,141,680.25/275,282
  6. Step 6: Final answer
    x = 630,826.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.