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Finding the Third Proportional to 542,632 and 798,274

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Solution

The third proportional to 542,632 and 798,274 is: 1,174,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,632 : 798,274 = 798,274 : x
  2. Step 2: Convert to fraction form
    542,632/798,274 = 798,274/x
  3. Step 3: Cross multiply
    542,632x = 798,274 × 798,274
  4. Step 4: Simplify right side
    542,632x = 637,241,379,076
  5. Step 5: Solve for x
    x = 637,241,379,076/542,632
  6. Step 6: Final answer
    x = 1,174,352.75

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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.