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Finding the Third Proportional to 228,901.50 and 497,211

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Solution

The third proportional to 228,901.50 and 497,211 is: 1,080,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,901.50 : 497,211 = 497,211 : x
  2. Step 2: Convert to fraction form
    228,901.50/497,211 = 497,211/x
  3. Step 3: Cross multiply
    228,901.50x = 497,211 × 497,211
  4. Step 4: Simplify right side
    228,901.50x = 247,218,778,521
  5. Step 5: Solve for x
    x = 247,218,778,521/228,901.50
  6. Step 6: Final answer
    x = 1,080,022.54

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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.