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Finding the Third Proportional to 452,185.13 and 719,790.38

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Solution

The third proportional to 452,185.13 and 719,790.38 is: 1,145,765.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,185.13 : 719,790.38 = 719,790.38 : x
  2. Step 2: Convert to fraction form
    452,185.13/719,790.38 = 719,790.38/x
  3. Step 3: Cross multiply
    452,185.13x = 719,790.38 × 719,790.38
  4. Step 4: Simplify right side
    452,185.13x = 518,098,183,942.64
  5. Step 5: Solve for x
    x = 518,098,183,942.64/452,185.13
  6. Step 6: Final answer
    x = 1,145,765.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.