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Finding the Third Proportional to 492,439 and 1,058,442.50

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Solution

The third proportional to 492,439 and 1,058,442.50 is: 2,275,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,439 : 1,058,442.50 = 1,058,442.50 : x
  2. Step 2: Convert to fraction form
    492,439/1,058,442.50 = 1,058,442.50/x
  3. Step 3: Cross multiply
    492,439x = 1,058,442.50 × 1,058,442.50
  4. Step 4: Simplify right side
    492,439x = 1,120,300,525,806.25
  5. Step 5: Solve for x
    x = 1,120,300,525,806.25/492,439
  6. Step 6: Final answer
    x = 2,275,003.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.