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Finding the Third Proportional to 375,960 and 575,847

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Solution

The third proportional to 375,960 and 575,847 is: 882,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,960 : 575,847 = 575,847 : x
  2. Step 2: Convert to fraction form
    375,960/575,847 = 575,847/x
  3. Step 3: Cross multiply
    375,960x = 575,847 × 575,847
  4. Step 4: Simplify right side
    375,960x = 331,599,767,409
  5. Step 5: Solve for x
    x = 331,599,767,409/375,960
  6. Step 6: Final answer
    x = 882,008.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.