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Finding the Third Proportional to 322,137 and 473,343.75

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Solution

The third proportional to 322,137 and 473,343.75 is: 695,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,137 : 473,343.75 = 473,343.75 : x
  2. Step 2: Convert to fraction form
    322,137/473,343.75 = 473,343.75/x
  3. Step 3: Cross multiply
    322,137x = 473,343.75 × 473,343.75
  4. Step 4: Simplify right side
    322,137x = 224,054,305,664.06
  5. Step 5: Solve for x
    x = 224,054,305,664.06/322,137
  6. Step 6: Final answer
    x = 695,524.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.