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Finding the Third Proportional to 185,546 and 413,590

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Solution

The third proportional to 185,546 and 413,590 is: 921,909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,546 : 413,590 = 413,590 : x
  2. Step 2: Convert to fraction form
    185,546/413,590 = 413,590/x
  3. Step 3: Cross multiply
    185,546x = 413,590 × 413,590
  4. Step 4: Simplify right side
    185,546x = 171,056,688,100
  5. Step 5: Solve for x
    x = 171,056,688,100/185,546
  6. Step 6: Final answer
    x = 921,909.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.