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Finding the Third Proportional to 548,706 and 824,520

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Solution

The third proportional to 548,706 and 824,520 is: 1,238,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,706 : 824,520 = 824,520 : x
  2. Step 2: Convert to fraction form
    548,706/824,520 = 824,520/x
  3. Step 3: Cross multiply
    548,706x = 824,520 × 824,520
  4. Step 4: Simplify right side
    548,706x = 679,833,230,400
  5. Step 5: Solve for x
    x = 679,833,230,400/548,706
  6. Step 6: Final answer
    x = 1,238,975.39

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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.