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Finding the Third Proportional to 449,344.13 and 693,927

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Solution

The third proportional to 449,344.13 and 693,927 is: 1,071,638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,344.13 : 693,927 = 693,927 : x
  2. Step 2: Convert to fraction form
    449,344.13/693,927 = 693,927/x
  3. Step 3: Cross multiply
    449,344.13x = 693,927 × 693,927
  4. Step 4: Simplify right side
    449,344.13x = 481,534,681,329
  5. Step 5: Solve for x
    x = 481,534,681,329/449,344.13
  6. Step 6: Final answer
    x = 1,071,638.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.