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Finding the Third Proportional to 363,447 and 745,027.88

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Solution

The third proportional to 363,447 and 745,027.88 is: 1,527,228.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,447 : 745,027.88 = 745,027.88 : x
  2. Step 2: Convert to fraction form
    363,447/745,027.88 = 745,027.88/x
  3. Step 3: Cross multiply
    363,447x = 745,027.88 × 745,027.88
  4. Step 4: Simplify right side
    363,447x = 555,066,534,527.02
  5. Step 5: Solve for x
    x = 555,066,534,527.02/363,447
  6. Step 6: Final answer
    x = 1,527,228.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.