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Finding the Third Proportional to 713,179 and 971,352

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Solution

The third proportional to 713,179 and 971,352 is: 1,322,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,179 : 971,352 = 971,352 : x
  2. Step 2: Convert to fraction form
    713,179/971,352 = 971,352/x
  3. Step 3: Cross multiply
    713,179x = 971,352 × 971,352
  4. Step 4: Simplify right side
    713,179x = 943,524,707,904
  5. Step 5: Solve for x
    x = 943,524,707,904/713,179
  6. Step 6: Final answer
    x = 1,322,984.42

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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.