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Finding the Third Proportional to 688,317 and 967,575

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Solution

The third proportional to 688,317 and 967,575 is: 1,360,131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,317 : 967,575 = 967,575 : x
  2. Step 2: Convert to fraction form
    688,317/967,575 = 967,575/x
  3. Step 3: Cross multiply
    688,317x = 967,575 × 967,575
  4. Step 4: Simplify right side
    688,317x = 936,201,380,625
  5. Step 5: Solve for x
    x = 936,201,380,625/688,317
  6. Step 6: Final answer
    x = 1,360,131.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.