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Finding the Third Proportional to 544,896 and 747,995

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Solution

The third proportional to 544,896 and 747,995 is: 1,026,795.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,896 : 747,995 = 747,995 : x
  2. Step 2: Convert to fraction form
    544,896/747,995 = 747,995/x
  3. Step 3: Cross multiply
    544,896x = 747,995 × 747,995
  4. Step 4: Simplify right side
    544,896x = 559,496,520,025
  5. Step 5: Solve for x
    x = 559,496,520,025/544,896
  6. Step 6: Final answer
    x = 1,026,795.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.