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Finding the Third Proportional to 715,622 and 968,436

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Solution

The third proportional to 715,622 and 968,436 is: 1,310,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,622 : 968,436 = 968,436 : x
  2. Step 2: Convert to fraction form
    715,622/968,436 = 968,436/x
  3. Step 3: Cross multiply
    715,622x = 968,436 × 968,436
  4. Step 4: Simplify right side
    715,622x = 937,868,286,096
  5. Step 5: Solve for x
    x = 937,868,286,096/715,622
  6. Step 6: Final answer
    x = 1,310,563.80

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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.