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Finding the Third Proportional to 544,903 and 748,003

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Solution

The third proportional to 544,903 and 748,003 is: 1,026,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,903 : 748,003 = 748,003 : x
  2. Step 2: Convert to fraction form
    544,903/748,003 = 748,003/x
  3. Step 3: Cross multiply
    544,903x = 748,003 × 748,003
  4. Step 4: Simplify right side
    544,903x = 559,508,488,009
  5. Step 5: Solve for x
    x = 559,508,488,009/544,903
  6. Step 6: Final answer
    x = 1,026,803.83

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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.