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Finding the Third Proportional to 548,708 and 824,518

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Solution

The third proportional to 548,708 and 824,518 is: 1,238,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,708 : 824,518 = 824,518 : x
  2. Step 2: Convert to fraction form
    548,708/824,518 = 824,518/x
  3. Step 3: Cross multiply
    548,708x = 824,518 × 824,518
  4. Step 4: Simplify right side
    548,708x = 679,829,932,324
  5. Step 5: Solve for x
    x = 679,829,932,324/548,708
  6. Step 6: Final answer
    x = 1,238,964.86

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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.