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Finding the Third Proportional to 363,602 and 745,250

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Solution

The third proportional to 363,602 and 745,250 is: 1,527,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,602 : 745,250 = 745,250 : x
  2. Step 2: Convert to fraction form
    363,602/745,250 = 745,250/x
  3. Step 3: Cross multiply
    363,602x = 745,250 × 745,250
  4. Step 4: Simplify right side
    363,602x = 555,397,562,500
  5. Step 5: Solve for x
    x = 555,397,562,500/363,602
  6. Step 6: Final answer
    x = 1,527,487.64

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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.