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Finding the Third Proportional to 368,238 and 540,693

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Solution

The third proportional to 368,238 and 540,693 is: 793,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,238 : 540,693 = 540,693 : x
  2. Step 2: Convert to fraction form
    368,238/540,693 = 540,693/x
  3. Step 3: Cross multiply
    368,238x = 540,693 × 540,693
  4. Step 4: Simplify right side
    368,238x = 292,348,920,249
  5. Step 5: Solve for x
    x = 292,348,920,249/368,238
  6. Step 6: Final answer
    x = 793,912.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.