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Finding the Third Proportional to 310,878 and 480,062

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Solution

The third proportional to 310,878 and 480,062 is: 741,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,878 : 480,062 = 480,062 : x
  2. Step 2: Convert to fraction form
    310,878/480,062 = 480,062/x
  3. Step 3: Cross multiply
    310,878x = 480,062 × 480,062
  4. Step 4: Simplify right side
    310,878x = 230,459,523,844
  5. Step 5: Solve for x
    x = 230,459,523,844/310,878
  6. Step 6: Final answer
    x = 741,318.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.