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Finding the Third Proportional to 720,540.75 and 1,105,232.25

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Solution

The third proportional to 720,540.75 and 1,105,232.25 is: 1,695,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,540.75 : 1,105,232.25 = 1,105,232.25 : x
  2. Step 2: Convert to fraction form
    720,540.75/1,105,232.25 = 1,105,232.25/x
  3. Step 3: Cross multiply
    720,540.75x = 1,105,232.25 × 1,105,232.25
  4. Step 4: Simplify right side
    720,540.75x = 1,221,538,326,440.06
  5. Step 5: Solve for x
    x = 1,221,538,326,440.06/720,540.75
  6. Step 6: Final answer
    x = 1,695,307.76

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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.