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Finding the Third Proportional to 452,201.91 and 719,815.78

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Solution

The third proportional to 452,201.91 and 719,815.78 is: 1,145,804.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,201.91 : 719,815.78 = 719,815.78 : x
  2. Step 2: Convert to fraction form
    452,201.91/719,815.78 = 719,815.78/x
  3. Step 3: Cross multiply
    452,201.91x = 719,815.78 × 719,815.78
  4. Step 4: Simplify right side
    452,201.91x = 518,134,758,936.55
  5. Step 5: Solve for x
    x = 518,134,758,936.55/452,201.91
  6. Step 6: Final answer
    x = 1,145,804.01

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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.