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Finding the Third Proportional to 372,964.50 and 562,548.38

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Solution

The third proportional to 372,964.50 and 562,548.38 is: 848,500.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,964.50 : 562,548.38 = 562,548.38 : x
  2. Step 2: Convert to fraction form
    372,964.50/562,548.38 = 562,548.38/x
  3. Step 3: Cross multiply
    372,964.50x = 562,548.38 × 562,548.38
  4. Step 4: Simplify right side
    372,964.50x = 316,460,674,215.14
  5. Step 5: Solve for x
    x = 316,460,674,215.14/372,964.50
  6. Step 6: Final answer
    x = 848,500.79

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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.