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Finding the Third Proportional to 310,512 and 668,592

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Solution

The third proportional to 310,512 and 668,592 is: 1,439,607.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,512 : 668,592 = 668,592 : x
  2. Step 2: Convert to fraction form
    310,512/668,592 = 668,592/x
  3. Step 3: Cross multiply
    310,512x = 668,592 × 668,592
  4. Step 4: Simplify right side
    310,512x = 447,015,262,464
  5. Step 5: Solve for x
    x = 447,015,262,464/310,512
  6. Step 6: Final answer
    x = 1,439,607.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.