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Finding the Third Proportional to 310,716 and 670,335.75

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Solution

The third proportional to 310,716 and 670,335.75 is: 1,446,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,716 : 670,335.75 = 670,335.75 : x
  2. Step 2: Convert to fraction form
    310,716/670,335.75 = 670,335.75/x
  3. Step 3: Cross multiply
    310,716x = 670,335.75 × 670,335.75
  4. Step 4: Simplify right side
    310,716x = 449,350,017,728.06
  5. Step 5: Solve for x
    x = 449,350,017,728.06/310,716
  6. Step 6: Final answer
    x = 1,446,175.99

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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.