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Finding the Third Proportional to 254,196 and 502,014

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Solution

The third proportional to 254,196 and 502,014 is: 991,432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,196 : 502,014 = 502,014 : x
  2. Step 2: Convert to fraction form
    254,196/502,014 = 502,014/x
  3. Step 3: Cross multiply
    254,196x = 502,014 × 502,014
  4. Step 4: Simplify right side
    254,196x = 252,018,056,196
  5. Step 5: Solve for x
    x = 252,018,056,196/254,196
  6. Step 6: Final answer
    x = 991,432.03

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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.