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Finding the Third Proportional to 283,176.75 and 411,390.75

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Solution

The third proportional to 283,176.75 and 411,390.75 is: 597,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,176.75 : 411,390.75 = 411,390.75 : x
  2. Step 2: Convert to fraction form
    283,176.75/411,390.75 = 411,390.75/x
  3. Step 3: Cross multiply
    283,176.75x = 411,390.75 × 411,390.75
  4. Step 4: Simplify right side
    283,176.75x = 169,242,349,185.56
  5. Step 5: Solve for x
    x = 169,242,349,185.56/283,176.75
  6. Step 6: Final answer
    x = 597,656.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.