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Finding the Third Proportional to 611,300 and 844,644

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Solution

The third proportional to 611,300 and 844,644 is: 1,167,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,300 : 844,644 = 844,644 : x
  2. Step 2: Convert to fraction form
    611,300/844,644 = 844,644/x
  3. Step 3: Cross multiply
    611,300x = 844,644 × 844,644
  4. Step 4: Simplify right side
    611,300x = 713,423,486,736
  5. Step 5: Solve for x
    x = 713,423,486,736/611,300
  6. Step 6: Final answer
    x = 1,167,059.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.