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Finding the Third Proportional to 376,051.50 and 567,265.50

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Solution

The third proportional to 376,051.50 and 567,265.50 is: 855,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,051.50 : 567,265.50 = 567,265.50 : x
  2. Step 2: Convert to fraction form
    376,051.50/567,265.50 = 567,265.50/x
  3. Step 3: Cross multiply
    376,051.50x = 567,265.50 × 567,265.50
  4. Step 4: Simplify right side
    376,051.50x = 321,790,147,490.25
  5. Step 5: Solve for x
    x = 321,790,147,490.25/376,051.50
  6. Step 6: Final answer
    x = 855,707.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.