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Finding the Third Proportional to 375,896 and 575,751

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Solution

The third proportional to 375,896 and 575,751 is: 881,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,896 : 575,751 = 575,751 : x
  2. Step 2: Convert to fraction form
    375,896/575,751 = 575,751/x
  3. Step 3: Cross multiply
    375,896x = 575,751 × 575,751
  4. Step 4: Simplify right side
    375,896x = 331,489,214,001
  5. Step 5: Solve for x
    x = 331,489,214,001/375,896
  6. Step 6: Final answer
    x = 881,864.17

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