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Finding the Third Proportional to 254,197.50 and 502,017

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Solution

The third proportional to 254,197.50 and 502,017 is: 991,438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,197.50 : 502,017 = 502,017 : x
  2. Step 2: Convert to fraction form
    254,197.50/502,017 = 502,017/x
  3. Step 3: Cross multiply
    254,197.50x = 502,017 × 502,017
  4. Step 4: Simplify right side
    254,197.50x = 252,021,068,289
  5. Step 5: Solve for x
    x = 252,021,068,289/254,197.50
  6. Step 6: Final answer
    x = 991,438.03

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.