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Finding the Third Proportional to 522,483 and 781,698

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Solution

The third proportional to 522,483 and 781,698 is: 1,169,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,483 : 781,698 = 781,698 : x
  2. Step 2: Convert to fraction form
    522,483/781,698 = 781,698/x
  3. Step 3: Cross multiply
    522,483x = 781,698 × 781,698
  4. Step 4: Simplify right side
    522,483x = 611,051,763,204
  5. Step 5: Solve for x
    x = 611,051,763,204/522,483
  6. Step 6: Final answer
    x = 1,169,515.11

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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.