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Finding the Third Proportional to 714,144 and 979,248

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Solution

The third proportional to 714,144 and 979,248 is: 1,342,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,144 : 979,248 = 979,248 : x
  2. Step 2: Convert to fraction form
    714,144/979,248 = 979,248/x
  3. Step 3: Cross multiply
    714,144x = 979,248 × 979,248
  4. Step 4: Simplify right side
    714,144x = 958,926,645,504
  5. Step 5: Solve for x
    x = 958,926,645,504/714,144
  6. Step 6: Final answer
    x = 1,342,763.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.