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Finding the Third Proportional to 179,577 and 392,809.50

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Solution

The third proportional to 179,577 and 392,809.50 is: 859,237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,577 : 392,809.50 = 392,809.50 : x
  2. Step 2: Convert to fraction form
    179,577/392,809.50 = 392,809.50/x
  3. Step 3: Cross multiply
    179,577x = 392,809.50 × 392,809.50
  4. Step 4: Simplify right side
    179,577x = 154,299,303,290.25
  5. Step 5: Solve for x
    x = 154,299,303,290.25/179,577
  6. Step 6: Final answer
    x = 859,237.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.