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Finding the Third Proportional to 466,960 and 713,996

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Solution

The third proportional to 466,960 and 713,996 is: 1,091,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,960 : 713,996 = 713,996 : x
  2. Step 2: Convert to fraction form
    466,960/713,996 = 713,996/x
  3. Step 3: Cross multiply
    466,960x = 713,996 × 713,996
  4. Step 4: Simplify right side
    466,960x = 509,790,288,016
  5. Step 5: Solve for x
    x = 509,790,288,016/466,960
  6. Step 6: Final answer
    x = 1,091,721.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.