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Finding the Third Proportional to 310,564 and 668,680

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Solution

The third proportional to 310,564 and 668,680 is: 1,439,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,564 : 668,680 = 668,680 : x
  2. Step 2: Convert to fraction form
    310,564/668,680 = 668,680/x
  3. Step 3: Cross multiply
    310,564x = 668,680 × 668,680
  4. Step 4: Simplify right side
    310,564x = 447,132,942,400
  5. Step 5: Solve for x
    x = 447,132,942,400/310,564
  6. Step 6: Final answer
    x = 1,439,744.92

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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.