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Finding the Third Proportional to 257,971 and 390,851

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Solution

The third proportional to 257,971 and 390,851 is: 592,177.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,971 : 390,851 = 390,851 : x
  2. Step 2: Convert to fraction form
    257,971/390,851 = 390,851/x
  3. Step 3: Cross multiply
    257,971x = 390,851 × 390,851
  4. Step 4: Simplify right side
    257,971x = 152,764,504,201
  5. Step 5: Solve for x
    x = 152,764,504,201/257,971
  6. Step 6: Final answer
    x = 592,177.04

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.