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Finding the Third Proportional to 312,092 and 470,336

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Solution

The third proportional to 312,092 and 470,336 is: 708,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,092 : 470,336 = 470,336 : x
  2. Step 2: Convert to fraction form
    312,092/470,336 = 470,336/x
  3. Step 3: Cross multiply
    312,092x = 470,336 × 470,336
  4. Step 4: Simplify right side
    312,092x = 221,215,952,896
  5. Step 5: Solve for x
    x = 221,215,952,896/312,092
  6. Step 6: Final answer
    x = 708,816.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.