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Finding the Third Proportional to 375,284.25 and 552,999.75

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Solution

The third proportional to 375,284.25 and 552,999.75 is: 814,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,284.25 : 552,999.75 = 552,999.75 : x
  2. Step 2: Convert to fraction form
    375,284.25/552,999.75 = 552,999.75/x
  3. Step 3: Cross multiply
    375,284.25x = 552,999.75 × 552,999.75
  4. Step 4: Simplify right side
    375,284.25x = 305,808,723,500.06
  5. Step 5: Solve for x
    x = 305,808,723,500.06/375,284.25
  6. Step 6: Final answer
    x = 814,872.26

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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.