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Finding the Third Proportional to 375,966 and 575,856

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Solution

The third proportional to 375,966 and 575,856 is: 882,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,966 : 575,856 = 575,856 : x
  2. Step 2: Convert to fraction form
    375,966/575,856 = 575,856/x
  3. Step 3: Cross multiply
    375,966x = 575,856 × 575,856
  4. Step 4: Simplify right side
    375,966x = 331,610,132,736
  5. Step 5: Solve for x
    x = 331,610,132,736/375,966
  6. Step 6: Final answer
    x = 882,021.60

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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.