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Finding the Third Proportional to 368,028 and 751,536

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Solution

The third proportional to 368,028 and 751,536 is: 1,534,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,028 : 751,536 = 751,536 : x
  2. Step 2: Convert to fraction form
    368,028/751,536 = 751,536/x
  3. Step 3: Cross multiply
    368,028x = 751,536 × 751,536
  4. Step 4: Simplify right side
    368,028x = 564,806,359,296
  5. Step 5: Solve for x
    x = 564,806,359,296/368,028
  6. Step 6: Final answer
    x = 1,534,683.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.