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Finding the Third Proportional to 366,921 and 523,485

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Solution

The third proportional to 366,921 and 523,485 is: 746,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,921 : 523,485 = 523,485 : x
  2. Step 2: Convert to fraction form
    366,921/523,485 = 523,485/x
  3. Step 3: Cross multiply
    366,921x = 523,485 × 523,485
  4. Step 4: Simplify right side
    366,921x = 274,036,545,225
  5. Step 5: Solve for x
    x = 274,036,545,225/366,921
  6. Step 6: Final answer
    x = 746,854.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.