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Finding the Third Proportional to 542,867.50 and 798,512

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Solution

The third proportional to 542,867.50 and 798,512 is: 1,174,543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,867.50 : 798,512 = 798,512 : x
  2. Step 2: Convert to fraction form
    542,867.50/798,512 = 798,512/x
  3. Step 3: Cross multiply
    542,867.50x = 798,512 × 798,512
  4. Step 4: Simplify right side
    542,867.50x = 637,621,414,144
  5. Step 5: Solve for x
    x = 637,621,414,144/542,867.50
  6. Step 6: Final answer
    x = 1,174,543.35

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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.