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Finding the Third Proportional to 363,497.63 and 744,627.94

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Solution

The third proportional to 363,497.63 and 744,627.94 is: 1,525,376.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,497.63 : 744,627.94 = 744,627.94 : x
  2. Step 2: Convert to fraction form
    363,497.63/744,627.94 = 744,627.94/x
  3. Step 3: Cross multiply
    363,497.63x = 744,627.94 × 744,627.94
  4. Step 4: Simplify right side
    363,497.63x = 554,470,765,305.50
  5. Step 5: Solve for x
    x = 554,470,765,305.50/363,497.63
  6. Step 6: Final answer
    x = 1,525,376.58

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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.