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Finding the Third Proportional to 544,304.25 and 1,153,500.75

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Solution

The third proportional to 544,304.25 and 1,153,500.75 is: 2,444,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,304.25 : 1,153,500.75 = 1,153,500.75 : x
  2. Step 2: Convert to fraction form
    544,304.25/1,153,500.75 = 1,153,500.75/x
  3. Step 3: Cross multiply
    544,304.25x = 1,153,500.75 × 1,153,500.75
  4. Step 4: Simplify right side
    544,304.25x = 1,330,563,980,250.56
  5. Step 5: Solve for x
    x = 1,330,563,980,250.56/544,304.25
  6. Step 6: Final answer
    x = 2,444,522.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.