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Finding the Third Proportional to 544,904 and 748,004

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Solution

The third proportional to 544,904 and 748,004 is: 1,026,804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,904 : 748,004 = 748,004 : x
  2. Step 2: Convert to fraction form
    544,904/748,004 = 748,004/x
  3. Step 3: Cross multiply
    544,904x = 748,004 × 748,004
  4. Step 4: Simplify right side
    544,904x = 559,509,984,016
  5. Step 5: Solve for x
    x = 559,509,984,016/544,904
  6. Step 6: Final answer
    x = 1,026,804.69

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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.