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Finding the Third Proportional to 465,475.50 and 664,404.75

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Solution

The third proportional to 465,475.50 and 664,404.75 is: 948,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,475.50 : 664,404.75 = 664,404.75 : x
  2. Step 2: Convert to fraction form
    465,475.50/664,404.75 = 664,404.75/x
  3. Step 3: Cross multiply
    465,475.50x = 664,404.75 × 664,404.75
  4. Step 4: Simplify right side
    465,475.50x = 441,433,671,822.56
  5. Step 5: Solve for x
    x = 441,433,671,822.56/465,475.50
  6. Step 6: Final answer
    x = 948,349.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.