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Finding the Third Proportional to 344,292.75 and 526,304.25

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Solution

The third proportional to 344,292.75 and 526,304.25 is: 804,536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,292.75 : 526,304.25 = 526,304.25 : x
  2. Step 2: Convert to fraction form
    344,292.75/526,304.25 = 526,304.25/x
  3. Step 3: Cross multiply
    344,292.75x = 526,304.25 × 526,304.25
  4. Step 4: Simplify right side
    344,292.75x = 276,996,163,568.06
  5. Step 5: Solve for x
    x = 276,996,163,568.06/344,292.75
  6. Step 6: Final answer
    x = 804,536.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.