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Finding the Third Proportional to 713,678 and 972,073

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Solution

The third proportional to 713,678 and 972,073 is: 1,324,022.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,678 : 972,073 = 972,073 : x
  2. Step 2: Convert to fraction form
    713,678/972,073 = 972,073/x
  3. Step 3: Cross multiply
    713,678x = 972,073 × 972,073
  4. Step 4: Simplify right side
    713,678x = 944,925,917,329
  5. Step 5: Solve for x
    x = 944,925,917,329/713,678
  6. Step 6: Final answer
    x = 1,324,022.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.