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Finding the Third Proportional to 533,980.69 and 803,239.03

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Solution

The third proportional to 533,980.69 and 803,239.03 is: 1,208,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,980.69 : 803,239.03 = 803,239.03 : x
  2. Step 2: Convert to fraction form
    533,980.69/803,239.03 = 803,239.03/x
  3. Step 3: Cross multiply
    533,980.69x = 803,239.03 × 803,239.03
  4. Step 4: Simplify right side
    533,980.69x = 645,192,941,323.44
  5. Step 5: Solve for x
    x = 645,192,941,323.44/533,980.69
  6. Step 6: Final answer
    x = 1,208,270.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.