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Finding the Third Proportional to 376,042 and 575,971

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Solution

The third proportional to 376,042 and 575,971 is: 882,195.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,042 : 575,971 = 575,971 : x
  2. Step 2: Convert to fraction form
    376,042/575,971 = 575,971/x
  3. Step 3: Cross multiply
    376,042x = 575,971 × 575,971
  4. Step 4: Simplify right side
    376,042x = 331,742,592,841
  5. Step 5: Solve for x
    x = 331,742,592,841/376,042
  6. Step 6: Final answer
    x = 882,195.59

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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.