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Finding the Third Proportional to 284,680 and 658,964

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Solution

The third proportional to 284,680 and 658,964 is: 1,525,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,680 : 658,964 = 658,964 : x
  2. Step 2: Convert to fraction form
    284,680/658,964 = 658,964/x
  3. Step 3: Cross multiply
    284,680x = 658,964 × 658,964
  4. Step 4: Simplify right side
    284,680x = 434,233,553,296
  5. Step 5: Solve for x
    x = 434,233,553,296/284,680
  6. Step 6: Final answer
    x = 1,525,339.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.