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Finding the Third Proportional to 375,846 and 575,676

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Solution

The third proportional to 375,846 and 575,676 is: 881,751.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,846 : 575,676 = 575,676 : x
  2. Step 2: Convert to fraction form
    375,846/575,676 = 575,676/x
  3. Step 3: Cross multiply
    375,846x = 575,676 × 575,676
  4. Step 4: Simplify right side
    375,846x = 331,402,856,976
  5. Step 5: Solve for x
    x = 331,402,856,976/375,846
  6. Step 6: Final answer
    x = 881,751.72

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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.