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Finding the Third Proportional to 228,680 and 534,440

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Solution

The third proportional to 228,680 and 534,440 is: 1,249,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,680 : 534,440 = 534,440 : x
  2. Step 2: Convert to fraction form
    228,680/534,440 = 534,440/x
  3. Step 3: Cross multiply
    228,680x = 534,440 × 534,440
  4. Step 4: Simplify right side
    228,680x = 285,626,113,600
  5. Step 5: Solve for x
    x = 285,626,113,600/228,680
  6. Step 6: Final answer
    x = 1,249,020.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.