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Finding the Third Proportional to 452,193 and 719,801

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Solution

The third proportional to 452,193 and 719,801 is: 1,145,779.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,193 : 719,801 = 719,801 : x
  2. Step 2: Convert to fraction form
    452,193/719,801 = 719,801/x
  3. Step 3: Cross multiply
    452,193x = 719,801 × 719,801
  4. Step 4: Simplify right side
    452,193x = 518,113,479,601
  5. Step 5: Solve for x
    x = 518,113,479,601/452,193
  6. Step 6: Final answer
    x = 1,145,779.52

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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.