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Finding the Third Proportional to 310,530 and 668,628

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Solution

The third proportional to 310,530 and 668,628 is: 1,439,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,530 : 668,628 = 668,628 : x
  2. Step 2: Convert to fraction form
    310,530/668,628 = 668,628/x
  3. Step 3: Cross multiply
    310,530x = 668,628 × 668,628
  4. Step 4: Simplify right side
    310,530x = 447,063,402,384
  5. Step 5: Solve for x
    x = 447,063,402,384/310,530
  6. Step 6: Final answer
    x = 1,439,678.62

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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.