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Finding the Third Proportional to 393,024 and 842,080

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Solution

The third proportional to 393,024 and 842,080 is: 1,804,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,024 : 842,080 = 842,080 : x
  2. Step 2: Convert to fraction form
    393,024/842,080 = 842,080/x
  3. Step 3: Cross multiply
    393,024x = 842,080 × 842,080
  4. Step 4: Simplify right side
    393,024x = 709,098,726,400
  5. Step 5: Solve for x
    x = 709,098,726,400/393,024
  6. Step 6: Final answer
    x = 1,804,212.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.