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Finding the Third Proportional to 715,500 and 968,274

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Solution

The third proportional to 715,500 and 968,274 is: 1,310,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,500 : 968,274 = 968,274 : x
  2. Step 2: Convert to fraction form
    715,500/968,274 = 968,274/x
  3. Step 3: Cross multiply
    715,500x = 968,274 × 968,274
  4. Step 4: Simplify right side
    715,500x = 937,554,539,076
  5. Step 5: Solve for x
    x = 937,554,539,076/715,500
  6. Step 6: Final answer
    x = 1,310,348.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.