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Finding the Third Proportional to 611,302 and 844,647

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Solution

The third proportional to 611,302 and 844,647 is: 1,167,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,302 : 844,647 = 844,647 : x
  2. Step 2: Convert to fraction form
    611,302/844,647 = 844,647/x
  3. Step 3: Cross multiply
    611,302x = 844,647 × 844,647
  4. Step 4: Simplify right side
    611,302x = 713,428,554,609
  5. Step 5: Solve for x
    x = 713,428,554,609/611,302
  6. Step 6: Final answer
    x = 1,167,064.00

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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.