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Finding the Third Proportional to 714,080 and 979,167

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Solution

The third proportional to 714,080 and 979,167 is: 1,342,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,080 : 979,167 = 979,167 : x
  2. Step 2: Convert to fraction form
    714,080/979,167 = 979,167/x
  3. Step 3: Cross multiply
    714,080x = 979,167 × 979,167
  4. Step 4: Simplify right side
    714,080x = 958,768,013,889
  5. Step 5: Solve for x
    x = 958,768,013,889/714,080
  6. Step 6: Final answer
    x = 1,342,661.91

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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.