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Finding the Third Proportional to 481,824 and 763,560

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Solution

The third proportional to 481,824 and 763,560 is: 1,210,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,824 : 763,560 = 763,560 : x
  2. Step 2: Convert to fraction form
    481,824/763,560 = 763,560/x
  3. Step 3: Cross multiply
    481,824x = 763,560 × 763,560
  4. Step 4: Simplify right side
    481,824x = 583,023,873,600
  5. Step 5: Solve for x
    x = 583,023,873,600/481,824
  6. Step 6: Final answer
    x = 1,210,034.94

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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.