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Finding the Third Proportional to 713,177 and 971,349

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Solution

The third proportional to 713,177 and 971,349 is: 1,322,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,177 : 971,349 = 971,349 : x
  2. Step 2: Convert to fraction form
    713,177/971,349 = 971,349/x
  3. Step 3: Cross multiply
    713,177x = 971,349 × 971,349
  4. Step 4: Simplify right side
    713,177x = 943,518,879,801
  5. Step 5: Solve for x
    x = 943,518,879,801/713,177
  6. Step 6: Final answer
    x = 1,322,979.96

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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.