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Finding the Third Proportional to 356,324 and 522,820

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Solution

The third proportional to 356,324 and 522,820 is: 767,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,324 : 522,820 = 522,820 : x
  2. Step 2: Convert to fraction form
    356,324/522,820 = 522,820/x
  3. Step 3: Cross multiply
    356,324x = 522,820 × 522,820
  4. Step 4: Simplify right side
    356,324x = 273,340,752,400
  5. Step 5: Solve for x
    x = 273,340,752,400/356,324
  6. Step 6: Final answer
    x = 767,112.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.