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Finding the Third Proportional to 481,334 and 748,324

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Solution

The third proportional to 481,334 and 748,324 is: 1,163,410.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,334 : 748,324 = 748,324 : x
  2. Step 2: Convert to fraction form
    481,334/748,324 = 748,324/x
  3. Step 3: Cross multiply
    481,334x = 748,324 × 748,324
  4. Step 4: Simplify right side
    481,334x = 559,988,808,976
  5. Step 5: Solve for x
    x = 559,988,808,976/481,334
  6. Step 6: Final answer
    x = 1,163,410.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.