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Finding the Third Proportional to 324,769.50 and 477,312.75

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Solution

The third proportional to 324,769.50 and 477,312.75 is: 701,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,769.50 : 477,312.75 = 477,312.75 : x
  2. Step 2: Convert to fraction form
    324,769.50/477,312.75 = 477,312.75/x
  3. Step 3: Cross multiply
    324,769.50x = 477,312.75 × 477,312.75
  4. Step 4: Simplify right side
    324,769.50x = 227,827,461,312.56
  5. Step 5: Solve for x
    x = 227,827,461,312.56/324,769.50
  6. Step 6: Final answer
    x = 701,505.10

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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.