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Finding the Third Proportional to 342,620 and 522,020

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Solution

The third proportional to 342,620 and 522,020 is: 795,356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,620 : 522,020 = 522,020 : x
  2. Step 2: Convert to fraction form
    342,620/522,020 = 522,020/x
  3. Step 3: Cross multiply
    342,620x = 522,020 × 522,020
  4. Step 4: Simplify right side
    342,620x = 272,504,880,400
  5. Step 5: Solve for x
    x = 272,504,880,400/342,620
  6. Step 6: Final answer
    x = 795,356.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.