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Finding the Third Proportional to 310,437 and 678,996

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Solution

The third proportional to 310,437 and 678,996 is: 1,485,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,437 : 678,996 = 678,996 : x
  2. Step 2: Convert to fraction form
    310,437/678,996 = 678,996/x
  3. Step 3: Cross multiply
    310,437x = 678,996 × 678,996
  4. Step 4: Simplify right side
    310,437x = 461,035,568,016
  5. Step 5: Solve for x
    x = 461,035,568,016/310,437
  6. Step 6: Final answer
    x = 1,485,117.97

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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.