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Finding the Third Proportional to 713,182 and 971,350

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Solution

The third proportional to 713,182 and 971,350 is: 1,322,973.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,182 : 971,350 = 971,350 : x
  2. Step 2: Convert to fraction form
    713,182/971,350 = 971,350/x
  3. Step 3: Cross multiply
    713,182x = 971,350 × 971,350
  4. Step 4: Simplify right side
    713,182x = 943,520,822,500
  5. Step 5: Solve for x
    x = 943,520,822,500/713,182
  6. Step 6: Final answer
    x = 1,322,973.41

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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.