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Finding the Third Proportional to 295,920 and 639,139.50

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Solution

The third proportional to 295,920 and 639,139.50 is: 1,380,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,920 : 639,139.50 = 639,139.50 : x
  2. Step 2: Convert to fraction form
    295,920/639,139.50 = 639,139.50/x
  3. Step 3: Cross multiply
    295,920x = 639,139.50 × 639,139.50
  4. Step 4: Simplify right side
    295,920x = 408,499,300,460.25
  5. Step 5: Solve for x
    x = 408,499,300,460.25/295,920
  6. Step 6: Final answer
    x = 1,380,438.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.