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Finding the Third Proportional to 375,922 and 575,790

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Solution

The third proportional to 375,922 and 575,790 is: 881,922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,922 : 575,790 = 575,790 : x
  2. Step 2: Convert to fraction form
    375,922/575,790 = 575,790/x
  3. Step 3: Cross multiply
    375,922x = 575,790 × 575,790
  4. Step 4: Simplify right side
    375,922x = 331,534,124,100
  5. Step 5: Solve for x
    x = 331,534,124,100/375,922
  6. Step 6: Final answer
    x = 881,922.64

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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.