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Finding the Third Proportional to 431,679 and 915,961.50

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Solution

The third proportional to 431,679 and 915,961.50 is: 1,943,540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,679 : 915,961.50 = 915,961.50 : x
  2. Step 2: Convert to fraction form
    431,679/915,961.50 = 915,961.50/x
  3. Step 3: Cross multiply
    431,679x = 915,961.50 × 915,961.50
  4. Step 4: Simplify right side
    431,679x = 838,985,469,482.25
  5. Step 5: Solve for x
    x = 838,985,469,482.25/431,679
  6. Step 6: Final answer
    x = 1,943,540.15

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.