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Finding the Third Proportional to 228,124.50 and 470,703

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Solution

The third proportional to 228,124.50 and 470,703 is: 971,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,124.50 : 470,703 = 470,703 : x
  2. Step 2: Convert to fraction form
    228,124.50/470,703 = 470,703/x
  3. Step 3: Cross multiply
    228,124.50x = 470,703 × 470,703
  4. Step 4: Simplify right side
    228,124.50x = 221,561,314,209
  5. Step 5: Solve for x
    x = 221,561,314,209/228,124.50
  6. Step 6: Final answer
    x = 971,229.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.