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Finding the Third Proportional to 567,658 and 946,059

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Solution

The third proportional to 567,658 and 946,059 is: 1,576,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,658 : 946,059 = 946,059 : x
  2. Step 2: Convert to fraction form
    567,658/946,059 = 946,059/x
  3. Step 3: Cross multiply
    567,658x = 946,059 × 946,059
  4. Step 4: Simplify right side
    567,658x = 895,027,631,481
  5. Step 5: Solve for x
    x = 895,027,631,481/567,658
  6. Step 6: Final answer
    x = 1,576,702.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.