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Finding the Third Proportional to 375,218 and 561,800.75

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Solution

The third proportional to 375,218 and 561,800.75 is: 841,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,218 : 561,800.75 = 561,800.75 : x
  2. Step 2: Convert to fraction form
    375,218/561,800.75 = 561,800.75/x
  3. Step 3: Cross multiply
    375,218x = 561,800.75 × 561,800.75
  4. Step 4: Simplify right side
    375,218x = 315,620,082,700.56
  5. Step 5: Solve for x
    x = 315,620,082,700.56/375,218
  6. Step 6: Final answer
    x = 841,164.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.