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Finding the Third Proportional to 481,824 and 724,140

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Solution

The third proportional to 481,824 and 724,140 is: 1,088,320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,824 : 724,140 = 724,140 : x
  2. Step 2: Convert to fraction form
    481,824/724,140 = 724,140/x
  3. Step 3: Cross multiply
    481,824x = 724,140 × 724,140
  4. Step 4: Simplify right side
    481,824x = 524,378,739,600
  5. Step 5: Solve for x
    x = 524,378,739,600/481,824
  6. Step 6: Final answer
    x = 1,088,320.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.