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Finding the Third Proportional to 544,902 and 748,000

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Solution

The third proportional to 544,902 and 748,000 is: 1,026,797.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,902 : 748,000 = 748,000 : x
  2. Step 2: Convert to fraction form
    544,902/748,000 = 748,000/x
  3. Step 3: Cross multiply
    544,902x = 748,000 × 748,000
  4. Step 4: Simplify right side
    544,902x = 559,504,000,000
  5. Step 5: Solve for x
    x = 559,504,000,000/544,902
  6. Step 6: Final answer
    x = 1,026,797.48

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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.