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Finding the Third Proportional to 336,666 and 736,680

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Solution

The third proportional to 336,666 and 736,680 is: 1,611,975.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,666 : 736,680 = 736,680 : x
  2. Step 2: Convert to fraction form
    336,666/736,680 = 736,680/x
  3. Step 3: Cross multiply
    336,666x = 736,680 × 736,680
  4. Step 4: Simplify right side
    336,666x = 542,697,422,400
  5. Step 5: Solve for x
    x = 542,697,422,400/336,666
  6. Step 6: Final answer
    x = 1,611,975.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.