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Finding the Third Proportional to 547,209.42 and 874,162.13

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Solution

The third proportional to 547,209.42 and 874,162.13 is: 1,396,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,209.42 : 874,162.13 = 874,162.13 : x
  2. Step 2: Convert to fraction form
    547,209.42/874,162.13 = 874,162.13/x
  3. Step 3: Cross multiply
    547,209.42x = 874,162.13 × 874,162.13
  4. Step 4: Simplify right side
    547,209.42x = 764,159,420,784.52
  5. Step 5: Solve for x
    x = 764,159,420,784.52/547,209.42
  6. Step 6: Final answer
    x = 1,396,466.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.