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Finding the Third Proportional to 185,722 and 406,935

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Solution

The third proportional to 185,722 and 406,935 is: 891,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,722 : 406,935 = 406,935 : x
  2. Step 2: Convert to fraction form
    185,722/406,935 = 406,935/x
  3. Step 3: Cross multiply
    185,722x = 406,935 × 406,935
  4. Step 4: Simplify right side
    185,722x = 165,596,094,225
  5. Step 5: Solve for x
    x = 165,596,094,225/185,722
  6. Step 6: Final answer
    x = 891,634.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.