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Finding the Third Proportional to 228,893 and 497,190

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Solution

The third proportional to 228,893 and 497,190 is: 1,079,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,893 : 497,190 = 497,190 : x
  2. Step 2: Convert to fraction form
    228,893/497,190 = 497,190/x
  3. Step 3: Cross multiply
    228,893x = 497,190 × 497,190
  4. Step 4: Simplify right side
    228,893x = 247,197,896,100
  5. Step 5: Solve for x
    x = 247,197,896,100/228,893
  6. Step 6: Final answer
    x = 1,079,971.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.