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Finding the Third Proportional to 273,522 and 413,946

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Solution

The third proportional to 273,522 and 413,946 is: 626,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,522 : 413,946 = 413,946 : x
  2. Step 2: Convert to fraction form
    273,522/413,946 = 413,946/x
  3. Step 3: Cross multiply
    273,522x = 413,946 × 413,946
  4. Step 4: Simplify right side
    273,522x = 171,351,290,916
  5. Step 5: Solve for x
    x = 171,351,290,916/273,522
  6. Step 6: Final answer
    x = 626,462.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.