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Finding the Third Proportional to 481,620 and 763,254

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Solution

The third proportional to 481,620 and 763,254 is: 1,209,577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,620 : 763,254 = 763,254 : x
  2. Step 2: Convert to fraction form
    481,620/763,254 = 763,254/x
  3. Step 3: Cross multiply
    481,620x = 763,254 × 763,254
  4. Step 4: Simplify right side
    481,620x = 582,556,668,516
  5. Step 5: Solve for x
    x = 582,556,668,516/481,620
  6. Step 6: Final answer
    x = 1,209,577.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.