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Finding the Third Proportional to 451,215 and 963,319.50

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Solution

The third proportional to 451,215 and 963,319.50 is: 2,056,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,215 : 963,319.50 = 963,319.50 : x
  2. Step 2: Convert to fraction form
    451,215/963,319.50 = 963,319.50/x
  3. Step 3: Cross multiply
    451,215x = 963,319.50 × 963,319.50
  4. Step 4: Simplify right side
    451,215x = 927,984,459,080.25
  5. Step 5: Solve for x
    x = 927,984,459,080.25/451,215
  6. Step 6: Final answer
    x = 2,056,634.77

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.