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Finding the Third Proportional to 544,906.88 and 748,009.13

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Solution

The third proportional to 544,906.88 and 748,009.13 is: 1,026,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,906.88 : 748,009.13 = 748,009.13 : x
  2. Step 2: Convert to fraction form
    544,906.88/748,009.13 = 748,009.13/x
  3. Step 3: Cross multiply
    544,906.88x = 748,009.13 × 748,009.13
  4. Step 4: Simplify right side
    544,906.88x = 559,517,651,083.27
  5. Step 5: Solve for x
    x = 559,517,651,083.27/544,906.88
  6. Step 6: Final answer
    x = 1,026,813.35

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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.