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Finding the Third Proportional to 688,296 and 1,476,255

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Solution

The third proportional to 688,296 and 1,476,255 is: 3,166,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,296 : 1,476,255 = 1,476,255 : x
  2. Step 2: Convert to fraction form
    688,296/1,476,255 = 1,476,255/x
  3. Step 3: Cross multiply
    688,296x = 1,476,255 × 1,476,255
  4. Step 4: Simplify right side
    688,296x = 2,179,328,825,025
  5. Step 5: Solve for x
    x = 2,179,328,825,025/688,296
  6. Step 6: Final answer
    x = 3,166,266.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.